2x^2+9x+6=9x+14

Solution for 2x^2+9x+6=9x+14 equation:

Simplifying
2x2 + 9x + 6 = 9x + 14

Reorder the terms:
6 + 9x + 2x2 = 9x + 14

Reorder the terms:
6 + 9x + 2x2 = 14 + 9x

Add '-9x' to each side of the equation.
6 + 9x + -9x + 2x2 = 14 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 0 + 2x2 = 14 + 9x + -9x
6 + 2x2 = 14 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + 2x2 = 14 + 0
6 + 2x2 = 14

Solving
6 + 2x2 = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 14 + -6
2x2 = 14 + -6

Combine like terms: 14 + -6 = 8
2x2 = 8

Divide each side by '2'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}