Solve the Quadratic Equation by Factorization: (2x + 3)(3x – 7) = 0

Question: Solve the following quadratic equation by factorization:

$$ (2x+3)(3x-7)=0 $$

Solution

$$ (2x+3)(3x-7)=0 $$

Either

$$ 2x+3=0 $$

$$ 2x=-3 $$

$$ x=-\frac{3}{2} $$

or

$$ 3x-7=0 $$

$$ 3x=7 $$

$$ x=\frac{7}{3} $$

Hence,

$$ \boxed{x=-\frac{3}{2},\ \frac{7}{3}} $$