Question
$$8+2x\cdot0^2 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 8+2x\cdot0^2 &= 0&& \text{simplify left side} \\[1 em]8+2x\cdot0 &= 0&& \\[1 em]8+2x\cdot0 &= 0&& \\[1 em]8+0x &= 0&& \\[1 em]8 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 8 = 0 } $ is FALSE, we conclude that the equation has no solution.
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