=(9x-8)(3x+9)

Solution for =(9x-8)(3x+9) equation:

Simplifying
0 = (9x + -8)(3x + 9)

Reorder the terms:
0 = (-8 + 9x)(3x + 9)

Reorder the terms:
0 = (-8 + 9x)(9 + 3x)

Multiply (-8 + 9x) * (9 + 3x)
0 = (-8(9 + 3x) + 9x * (9 + 3x))
0 = ((9 * -8 + 3x * -8) + 9x * (9 + 3x))
0 = ((-72 + -24x) + 9x * (9 + 3x))
0 = (-72 + -24x + (9 * 9x + 3x * 9x))
0 = (-72 + -24x + (81x + 27x2))

Combine like terms: -24x + 81x = 57x
0 = (-72 + 57x + 27x2)

Solving
0 = -72 + 57x + 27x2

Solving for variable 'x'.

Combine like terms: 0 + 72 = 72
72 + -57x + -27x2 = -72 + 57x + 27x2 + 72 + -57x + -27x2

Reorder the terms:
72 + -57x + -27x2 = -72 + 72 + 57x + -57x + 27x2 + -27x2

Combine like terms: -72 + 72 = 0
72 + -57x + -27x2 = 0 + 57x + -57x + 27x2 + -27x2
72 + -57x + -27x2 = 57x + -57x + 27x2 + -27x2

Combine like terms: 57x + -57x = 0
72 + -57x + -27x2 = 0 + 27x2 + -27x2
72 + -57x + -27x2 = 27x2 + -27x2

Combine like terms: 27x2 + -27x2 = 0
72 + -57x + -27x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -19x + -9x2) = 0

Factor a trinomial.
3((8 + -9x)(3 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0.8888888889, -3}