Question
$$5\cdot0^2+4\cdot0 = 0$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 5\cdot0^2+4\cdot0 &= 0&& \text{simplify left side} \\[1 em]5\cdot0^2+0 &= 0&& \\[1 em]5\cdot0+0 &= 0&& \\[1 em]5\cdot0+0 &= 0&& \\[1 em]0+0 &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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