-81x^2-81x-8=0solve

Solution for -81x^2-81x-8=0solve equation:

Simplifying
-81x2 + -81x + -8 = 0solve

Reorder the terms:
-8 + -81x + -81x2 = 0solve

Anything times zero is zero.
-8 + -81x + -81x2 = 0elosv

Solving
-8 + -81x + -81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 81x + 81x2) = 0

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

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

Simplifying
1 + 9x = 0

Solving
1 + 9x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 0 + -1
9x = 0 + -1

Combine like terms: 0 + -1 = -1
9x = -1

Divide each side by '9'.
x = -0.1111111111

Simplifying
x = -0.1111111111
Solution
x = {-0.8888888889, -0.1111111111}