Find the roots of the following quadratic equation by factorization:
3(x - 4)2 - 5(x - 4) = 12
3(x - 4)2 - 5(x - 4) = 12
⇒ 3( x2 + 16 - 8x) - 5x + 20 - 12 = 0
⇒ 3x2 + 48 – 24x - 5x + 20 - 12 = 0
⇒ 3x2 – 29x + 56 = 0
⇒ 3x2 – 21x - 8x + 56 = 0
⇒ 3x(x - 7) - 8( x - 7) = 0
⇒ (3x - 8) (x - 7) = 0
The roots of the equation are those value for which (3x - 8) (x - 7) = 0
⇒ 
are the roots of the given equation.
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