Question
$$\frac{1}{2}x\cdot4x+2x\cdot2x-2 = 0$$
Answer
$$ \begin{matrix}x_1 = - \dfrac{\sqrt{ 3 }}{ 3 } & x_2 = \dfrac{\sqrt{ 3 }}{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{1}{2}x\cdot4x+2x\cdot2x-2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x\cdot4x+22x\cdot2x-2\cdot2 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]4x^2+8x^2-4 &= 0&& \text{simplify left side} \\[1 em]12x^2-4 &= 0&& \\[1 em] \end{aligned} $$
$ 12x^{2}-4 = 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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