◀ back to index
Question
$$\frac{1}{4}-4-3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{4}-4-3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot\frac{1}{4}-4\cdot4-4\cdot3 &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]1-16-12 &= 0&& \text{simplify left side} \\[1 em]-27 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -27 = 0 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver