Question
$$0 = \frac{8}{5}x^2$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} 0 &= \frac{8}{5}x^2&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot0 &= 5 \cdot \frac{8}{5}x^2&& \text{cancel out the denominators} \\[1 em]0 &= 8x^2&& \text{move all terms to the left hand side } \\[1 em]0-8x^2 &= 0&& \text{simplify left side} \\[1 em]-8x^2 &= 0&& \\[1 em] \end{aligned} $$
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