$$2^3+5\cdot2^2+4\cdot2-4 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2^3+5\cdot2^2+4\cdot2-4 &= 0&& \text{simplify left side} \\[1 em]2^3+5\cdot2^2+8-4 &= 0&& \\[1 em]8+5\cdot4+8-4 &= 0&& \\[1 em]8+20+8-4 &= 0&& \\[1 em]32 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 32 = 0 } $ is FALSE, we conclude that the equation has no solution.
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