🧮 algebra

1. **State the problem:** Find the value of $a$ in the equation $$2 = \frac{26}{2a}$$. 2. **Write down the formula and rules:** We want to solve for $a$. The equation involves a fr

1. **State the problem:** Solve the equation $$20 - \frac{t}{3} = 14$$ for $t$. 2. **Isolate the term with $t$:** Subtract 20 from both sides:

1. **State the problem:** Solve the equation $$\frac{54}{h - 1} = 3$$ for $h$. 2. **Use the formula:** To solve for $h$, multiply both sides of the equation by the denominator $(h

1. **State the problem:** Simplify the expression $$(-9x^2 + 2) \cdot 4x^2 + 2x^2 (5x^2 - 8) - (-7x^4 + 5x^2) \cdot 4$$. 2. **Apply the distributive property:** Multiply each term

1. Problem (a): Simplify the expression $2a(-4a^2 + 3a - 2) - 5(4a - a^2 - 2a^3)$. 2. Use the distributive property: $a(b + c) = ab + ac$.

1. **State the problem:** Solve for $x$ when $f(x) = 0$ given the function $f(x) = -\frac{1}{30}(x+3)(x-27)$. 2. **Formula and rules:** To find the roots of a function, set the fun

1. **State the problem:** We are given the function $f(x) = -\frac{1}{30}(x+3)(x-27)$ and want to understand its properties. 2. **Formula and rules:** This is a quadratic function

1. **State the problem:** Solve the equation $$x + 4 = x^2 + 8$$ for $x$. 2. **Rewrite the equation:** Move all terms to one side to set the equation to zero:

1. **State the problem:** Simplify the expression $\frac{30}{6} \div 2 - 2$. 2. **Recall the order of operations:** Division and multiplication are performed from left to right bef

1. Probleemstelling: Vul de rest van de vergelijking of uitdrukking in die je hebt gegeven. 2. Omdat je geen specifieke vergelijking of uitdrukking hebt gegeven, kan ik niet direct

1. We start with the problem: Ontbind in factoren de veelterm $$12x^4 - 8x^2 + 4x$$. 2. Zoek de grootste gemeenschappelijke factor (ggf) van alle termen. Hier is dat $$4x$$.

1. Il problema: Calcolare il quoziente di due frazioni significa dividere una frazione per un'altra. 2. Formula: Se abbiamo due frazioni $\frac{a}{b}$ e $\frac{c}{d}$, il quoziente

1. **State the problem:** Simplify the fraction $$\frac{x - a}{a - x}$$. 2. **Recognize the relationship:** Notice that the denominator $$a - x$$ can be rewritten as $$-(x - a)$$ b

1. Statement of the problem: Simplify the expression $4a^2 - [3a^2 - b - (2a^2 + ab - 3b^2)]$. 2. Formula and rules: Use the distributive property $x - (y+z) = x - y - z$ and the r

1. **State the problem:** Simplify the expression $$4a^2 - [3a^2 - b - (2a^2 + ab - 3b^2)]$$. 2. **Understand the rules:** When simplifying expressions with brackets, start from th

1. Bài toán: Có 14 học sinh gồm nam và nữ tham gia gói 96 phần quà. Tổng số phần quà các bạn nam gói bằng tổng số phần quà các bạn nữ gói. Số phần quà mỗi bạn nữ làm được nhiều hơn

1. Bài toán yêu cầu giải bằng cách lập phương trình bậc 2. 2. Giả sử bài toán có dạng: tìm $x$ sao cho $ax^2 + bx + c = 0$ với $a \neq 0$.

1. Planteamos el problema: Resolver la ecuación exponencial $$2^{x+1} + 2^x + 2^{x-1} = 28$$. 2. Usamos la propiedad de potencias: $$2^{x+a} = 2^x \cdot 2^a$$.

1. Il problema richiede di calcolare il valore dell'espressione complessa data. 2. Ricordiamo alcune regole importanti:

1. **Stating the problem:** We want to solve a simple algebraic equation as an example. 2. **Example problem:** Solve for $x$ in the equation $$2x + 3 = 7$$.

1. Das Problem: Du möchtest wissen, wie man entscheidet, welche Methode man zur Nullstellenbestimmung verwendet: Ausklammern, Substitution, Polynomdivision oder nach $x$ umstellen.