2x^2+9x=9(x+8)

Solution for 2x^2+9x=9(x+8) equation:

Simplifying
2x2 + 9x = 9(x + 8)

Reorder the terms:
9x + 2x2 = 9(x + 8)

Reorder the terms:
9x + 2x2 = 9(8 + x)
9x + 2x2 = (8 * 9 + x * 9)
9x + 2x2 = (72 + 9x)

Add '-9x' to each side of the equation.
9x + -9x + 2x2 = 72 + 9x + -9x

Combine like terms: 9x + -9x = 0
0 + 2x2 = 72 + 9x + -9x
2x2 = 72 + 9x + -9x

Combine like terms: 9x + -9x = 0
2x2 = 72 + 0
2x2 = 72

Solving
2x2 = 72

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}