Subjects algebra

Break And Solve Fd6Ae7

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1. The problem is to break an expression or equation into 3 pieces and then solve it. Since the exact expression is not provided, let's consider a general approach. 2. Suppose we have an expression $f(x)$ that can be split into three parts: $f(x) = g(x) + h(x) + k(x)$. 3. To solve, we analyze each piece separately, solve for $x$ in each part if possible, and then combine the results. 4. For example, if $f(x) = x^3 - 3x^2 + 2x$, we can break it into three parts: $g(x) = x^3$, $h(x) = -3x^2$, and $k(x) = 2x$. 5. To solve $f(x) = 0$, we write: $$x^3 - 3x^2 + 2x = 0$$ 6. Factor out the common term $x$: $$x(x^2 - 3x + 2) = 0$$ 7. Set each factor equal to zero: - $x = 0$ - $x^2 - 3x + 2 = 0$ 8. Solve the quadratic equation: $$x^2 - 3x + 2 = 0$$ 9. Factor the quadratic: $$(x - 1)(x - 2) = 0$$ 10. So, $x = 1$ or $x = 2$. 11. Therefore, the solutions are $x = 0$, $x = 1$, and $x = 2$. This method shows how to break an expression into parts, factor, and solve step-by-step.