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Solve the following quadratic equation by factorization:
$(2x\ +\ 3)(3x\ –\ 7)\ =\ 0$
Given:
Given quadratic equation is $(2x\ +\ 3)(3x\ –\ 7)\ =\ 0$.
To do:
We have to solve the given quadratic equation by factorization.
Solution:
$(2x\ +\ 3)(3x\ –\ 7)\ =\ 0$
$2x+3=0$ or $3x-7=0$
$2x=-3$ or $3x=7$
$x=\frac{-3}{2}$ or $x=\frac{7}{3}$
The roots of the given quadratic equation are $\frac{-3}{2}$ and $\frac{7}{3}$.
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