Question
$$6(c-2)^2 = 150$$
Answer
$$ \begin{matrix}c_1 = -3 & c_2 = 7 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 6(c-2)^2 &= 150&& \text{simplify left side} \\[1 em]6(1c^2-4c+4) &= 150&& \\[1 em]6c^2-24c+24 &= 150&& \text{move all terms to the left hand side } \\[1 em]6c^2-24c+24-150 &= 0&& \text{simplify left side} \\[1 em]6c^2-24c-126 &= 0&& \\[1 em] \end{aligned} $$
$ 6x^{2}-24x-126 = 0 $ is a quadratic equation.
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