9x^2+181x+872=0

Solution for 9x^2+181x+872=0 equation:

Simplifying
9x2 + 181x + 872 = 0

Reorder the terms:
872 + 181x + 9x2 = 0

Solving
872 + 181x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(109 + 9x)(8 + x) = 0

Subproblem 1
Set the factor '(109 + 9x)' equal to zero and attempt to solve:

Simplifying
109 + 9x = 0

Solving
109 + 9x = 0

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

Add '-109' to each side of the equation.
109 + -109 + 9x = 0 + -109

Combine like terms: 109 + -109 = 0
0 + 9x = 0 + -109
9x = 0 + -109

Combine like terms: 0 + -109 = -109
9x = -109

Divide each side by '9'.
x = -12.11111111

Simplifying
x = -12.11111111
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 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 + x = 0 + -8

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

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

Simplifying
x = -8
Solution
x = {-12.11111111, -8}