Question
$$7^4-10\cdot7^2 = -21$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 7^4-10\cdot7^2 &= -21&& \text{simplify left side} \\[1 em]2401-10\cdot49 &= -21&& \\[1 em]2401-490 &= -21&& \\[1 em]1911 &= -21&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 1911 = -21 } $ is FALSE, we conclude that the equation has no solution.
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