Question
$$-\frac{21}{3}\cdot\frac{5}{4} = -\frac{21}{3}\cdot\frac{5}{4}$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} -\frac{21}{3}\cdot\frac{5}{4} &= -\frac{21}{3}\cdot\frac{5}{4}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]-12 \cdot \frac{21}{3}\cdot\frac{5}{4} &= -12 \cdot \frac{21}{3}\cdot\frac{5}{4}&& \text{cancel out the denominators} \\[1 em]-105 &= -105&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ -105 = -105 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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