Question
$$x = \frac{70}{x-3}$$
Answer
$$ \begin{matrix}x_1 = -7 & x_2 = 10 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x &= \frac{70}{x-3}&& \text{multiply ALL terms by } \color{blue}{ x-3 }. \\[1 em](x-3)x &= (x-3)\cdot\frac{70}{x-3}&& \text{cancel out the denominators} \\[1 em]x^2-3x &= 70&& \text{move all terms to the left hand side } \\[1 em]x^2-3x-70 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-3x-70 = 0 $ is a quadratic equation.
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