$$7^3+7^2-6\cdot7-756 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 7^3+7^2-6\cdot7-756 &= 0&& \text{simplify left side} \\[1 em]7^3+7^2-42-756 &= 0&& \\[1 em]343+49-42-756 &= 0&& \\[1 em]-406 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -406 = 0 } $ is FALSE, we conclude that the equation has no solution.
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