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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Updated on: 10-Oct-2022

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