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.
⇒ x(x – 1 + 2x – 4) = 6(x2 -3x + 2)
⇒ 3x2 - 5x = 6x2 – 18x + 12
⇒ 3x2 - 13x + 12 = 0
⇒ 3x2 - 9x - 4x + 12 = 0
⇒ 3x(x - 3) -4(x – 3) = 0
⇒ (3x – 4)(x – 3) = 0
⇒ x = 4/3, 3