Solve by factoring or finding square root

Question

6x^2+9=-55x?

Answer 1

Given equation is 6x^2 + 9 + 55x = 0

                         => 6x^2 + x +54x + 9 = 0                 [ Split 55x as 54x + x ]

                         => x(6x + 1) + 9(6x + 1) = 0

                         => (x + 9) (6x + 1) = 0                      [ (x + 9) and (6x + 1) are factors ]

                         => x + 9 = 0, 6x + 1 = 0

                         => x = -9, 6x = -1

                         => x = -9 and x = -1/6

Therefore x = -9 and -1/6