$$4 = 4^4-4\cdot4+10$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 4 &= 4^4-4\cdot4+10&& \text{simplify right side} \\[1 em]4 &= 4^4-16+10&& \\[1 em]4 &= 256-16+10&& \\[1 em]4 &= 250&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 4 = 250 } $ is FALSE, we conclude that the equation has no solution.
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