Question
$$6\cdot(9-(-6x-9))\cdot180x = 324$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 2 }-\dfrac{\sqrt{ 230 }}{ 10 } & x_2 = -\dfrac{ 3 }{ 2 }+\dfrac{\sqrt{ 230 }}{ 10 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 6\cdot(9-(-6x-9))\cdot180x &= 324&& \text{simplify left side} \\[1 em]6(9+6x+9)\cdot180x &= 324&& \\[1 em]6(6x+18)\cdot180x &= 324&& \\[1 em](36x+108)\cdot180x &= 324&& \\[1 em](6480x+19440)x &= 324&& \\[1 em]6480x^2+19440x &= 324&& \text{move all terms to the left hand side } \\[1 em]6480x^2+19440x-324 &= 0&& \\[1 em] \end{aligned} $$
$ 6480x^{2}+19440x-324 = 0 $ is a quadratic equation.
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