Solve the following quadratic equations by factorization:
In factorization, we write the middle term of the quadratic equation either as a sum of two numbers or difference of two numbers such that the equation can be factorized.
⇒ 3(x2 – 7x + 10) + 3(x2 – 7x + 12) = 10(x2 – 8x + 15)
⇒ 4x2 – 38x + 84 = 0
⇒ 2x2 – 19x + 42 = 0
⇒ 2x2 – 12x – 7x + 42 = 0
⇒ 2x(x – 6) – 7(x – 6) = 0
⇒ (x – 6)(2x - 7) = 0
⇒ x = 7/2, 6
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