Find the roots of the following quadratic equation by factorization:
x(x + 4) = 12
x(x + 4) = 12
⇒ x2 + 4x - 12 = 0
⇒ x2 + 6x - 2x - 12 = 0
⇒ x( x + 6) - 2( x + 6) = 0
⇒ (x - 2) (x + 6) = 0
The roots of the equation are those value for which (x - 2) (x + 6) = 0
⇒ x = 2 or - 6
2 and - 6 are the roots of the given equation.
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