18x^2-92x-96=0

Solution for 18x^2-92x-96=0 equation:

Simplifying
18x2 + -92x + -96 = 0

Reorder the terms:
-96 + -92x + 18x2 = 0

Solving
-96 + -92x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + -46x + 9x2) = 0

Factor a trinomial.
2((-8 + -9x)(6 + -1x)) = 0

Ignore the factor 2.
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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.8888888889, 6}