Question
$$4x^2 = 2x-3$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 1 }{ 4 }+\dfrac{\sqrt{ 11 }}{ 4 }i & x_2 = \dfrac{ 1 }{ 4 }-\dfrac{\sqrt{ 11 }}{ 4 }i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2 &= 2x-3&& \text{move all terms to the left hand side } \\[1 em]4x^2-2x+3 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}-2x+3 = 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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