Question
$$2\cdot0^4-10\cdot0^2+4 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2\cdot0^4-10\cdot0^2+4 &= 0&& \text{simplify left side} \\[1 em]2\cdot0-10\cdot0+4 &= 0&& \\[1 em]2\cdot0-10\cdot0+4 &= 0&& \\[1 em]0+0+4 &= 0&& \\[1 em]0+0+4 &= 0&& \\[1 em]4 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 4 = 0 } $ is FALSE, we conclude that the equation has no solution.
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