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.
⇒ 4(25 + x2 + 10x) – 4(25 + x2 – 10x) = 15(25 – x2)
⇒ 15x2 + 80x – 375 = 0
⇒ 3x2 + 16x – 75 = 0
⇒ 3x2 + 25x – 9x – 75 = 0
⇒ x(3x + 25) – 3(3x + 25) = 0
⇒ (x – 3)(3x + 25) = 0
⇒ x = 3, - 25/3