Solve equation by factorization : 6p^2+ 11p – 10 = 0 - Vidyadip

Question

Solve equation by factorization : $6p^2+ 11p – 10 = 0$

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Answer

$
\begin{aligned}
& 6 p^2+11 p-10=0 \\
& \Rightarrow 6 p^2+15 p-4 p-10=0 \\
& \Rightarrow 3 p(2 p+5)-2(2 p+5)=0 \\
& (2 p+5)(3 p-2)=0
\end{aligned}
$
Either $2 p+5=0$, then $2 p=-5 \Rightarrow p=\frac{-5}{2}$
or $3 p-2=0$, then $3 p=2 \Rightarrow p=\frac{2}{3}$
Hence $p=\frac{-5}{2}, \frac{2}{3}$.

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