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# Solve the following quadratic equations by factorization method.

3(x–4)^{2} – 5 (x – 4) = 12

Answer :

3(x – 4)^{2} – 5(x – 4) = 12

= 3(x^{2} – 8x + 16) – 5x + 20 = 12

= 3x^{2} – 24x + 48 –5x + 20 – 12 = 0

= 3x^{2} – 29x + 56 = 0

= 3x^{2} – 21x – 8x + 56 = 0

= 3x(x – 7) – 8(x – 7) =0

= (x – 7) (3x – 8) = 0

x – 7 = 0 or 3x – 8 = 0

x = 7 or 3x = 8

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