1. The problem is to find the values of $x$ given the equation or expression that leads to $x = -1$ and $x = -1.5$. 2. Since the values of $x$ are already provided as $-1$ and $-1.5$, we can interpret this as the solutions to an equation. 3. For example, if these are roots of a quadratic equation, the equation can be formed by $(x + 1)(x + 1.5) = 0$. 4. Expanding this product: $$ (x + 1)(x + 1.5) = x^2 + 1.5x + x + 1.5 = x^2 + 2.5x + 1.5 $$ 5. Therefore, the quadratic equation with roots $x = -1$ and $x = -1.5$ is: $$ x^2 + 2.5x + 1.5 = 0 $$ 6. This confirms the given roots and the corresponding quadratic equation. Final answer: The roots are $x = -1$ and $x = -1.5$, and the quadratic equation is $x^2 + 2.5x + 1.5 = 0$.