Solve the Quadratic Equation by Factorization: (x – 4)(x + 2) = 0

Question: Solve the following quadratic equation by factorization:

$$ (x-4)(x+2)=0 $$

Solution

$$ (x-4)(x+2)=0 $$

Either

$$ x-4=0 $$

$$ x=4 $$

or

$$ x+2=0 $$

$$ x=-2 $$

Hence,

$$ \boxed{x=4,\,-2} $$