9x^2+4x+87=180

Solution for 9x^2+4x+87=180 equation:

Simplifying
9x2 + 4x + 87 = 180

Reorder the terms:
87 + 4x + 9x2 = 180

Solving
87 + 4x + 9x2 = 180

Solving for variable 'x'.

Reorder the terms:
87 + -180 + 4x + 9x2 = 180 + -180

Combine like terms: 87 + -180 = -93
-93 + 4x + 9x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-93 + 4x + 9x2 = 0

Factor a trinomial.
(-31 + -9x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-31 + -9x)' equal to zero and attempt to solve:

Simplifying
-31 + -9x = 0

Solving
-31 + -9x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -9x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -9x = 0 + 31
-9x = 0 + 31

Combine like terms: 0 + 31 = 31
-9x = 31

Divide each side by '-9'.
x = -3.444444444

Simplifying
x = -3.444444444
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.444444444, 3}