$$-40 = a\cdot(0-4)(0+2)^2$$

$$ \begin{aligned} -40 &= a\cdot(0-4)(0+2)^2&& \text{simplify right side} \\[1 em]-40 &= a\cdot(-4)\cdot2^2&& \\[1 em]-40 &= a\cdot(-4)\cdot4&& \\[1 em]-40 &= -16a&& \text{ swap the left and right side of the equation } \\[1 em]-16a &= -40&& \text{ divide both sides by $ -16 $ } \\[1 em]a &= \frac{-40}{-16}&& \\[1 em]a &= \frac{5}{2}&& \\[1 em] \end{aligned} $$

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