(2x-1)(3x+6)=9x

Solution for (2x-1)(3x+6)=9x equation:

Simplifying
(2x + -1)(3x + 6) = 9x

Reorder the terms:
(-1 + 2x)(3x + 6) = 9x

Reorder the terms:
(-1 + 2x)(6 + 3x) = 9x

Multiply (-1 + 2x) * (6 + 3x)
(-1(6 + 3x) + 2x * (6 + 3x)) = 9x
((6 * -1 + 3x * -1) + 2x * (6 + 3x)) = 9x
((-6 + -3x) + 2x * (6 + 3x)) = 9x
(-6 + -3x + (6 * 2x + 3x * 2x)) = 9x
(-6 + -3x + (12x + 6x2)) = 9x

Combine like terms: -3x + 12x = 9x
(-6 + 9x + 6x2) = 9x

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

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

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

Solving
-6 + 6x2 = 0

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 + 6x2 = 0 + 6

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

Combine like terms: 0 + 6 = 6
6x2 = 6

Divide each side by '6'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}