From the given equation: 6 x2 = 150
The next step is to factorize the given equation.
⇒ 6x2 - 150 = 0
On taking 6 as a common factor for the above equation we get,
⇒ 6 (x2 - 25) = 0
⇒ 6 (x2 – 52) = 0 [52 = 25]
From algebraic identities, we know that (a2- b2) = (a + b) (a - b)
So, the above equation becomes
⇒ 6 (x2 – 52) = 0
⇒ 6 (x + 5) (x - 5) = 0
⇒ x = 5, -5