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.

⇒ (ax – ab + bx – ab)(x – c) = 2c(x – a)(x – b)

⇒ ((a + b)x – 2ab)(x – c) = 2cx² – 2c(a + b)x + 2abc

⇒ (a + b)x² – (a + b)cx – 2abx + 2abc = 2cx² – 2(a + b)cx +2abc

⇒ (a + b – 2c)x² + ((a + b)c – 2ab)x = 0

⇒ x = 0,