81x^2+153x+72=0

Solution for 81x^2+153x+72=0 equation:

Simplifying
81x2 + 153x + 72 = 0

Reorder the terms:
72 + 153x + 81x2 = 0

Solving
72 + 153x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(8 + 17x + 9x2) = 0

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

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Subproblem 2
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
Solution
x = {-1, -0.8888888889}