Question
Solve the following quadratic equation by factorization.
5m2 = 22m + 15
5m2 = 22m + 15
✓
Answer
$\begin{array}{l}5 m ^2-22 m -15=0 \\ \Rightarrow 5 m ^2-3 m +25 m -15 \\ \Rightarrow m (5 m -3)+5(5 m -3) \\ \Rightarrow( m +5)(5 m -3) \\ m +5=0 \Rightarrow m =-5 \\ 5 m -3=0 \Rightarrow 5 m =3 \Rightarrow m =\frac{3}{5} \\ \therefore \text { Hence, } m =-5 \text { and } m =\frac{3}{5} \text { are roots of the equation. }\end{array}$
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