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$$9w+9 = 4w^2$$
Answer
$$ \begin{matrix}w_1 = 3 & w_2 = -\dfrac{ 3 }{ 4 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 9w+9 &= 4w^2&& \text{move all terms to the left hand side } \\[1 em]9w+9-4w^2 &= 0&& \text{simplify left side} \\[1 em]-4w^2+9w+9 &= 0&& \\[1 em] \end{aligned} $$
$ -4x^{2}+9x+9 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
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