x^2+15x+126=180

Solution for x^2+15x+126=180 equation:

Simplifying
x2 + 15x + 126 = 180

Reorder the terms:
126 + 15x + x2 = 180

Solving
126 + 15x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
126 + -180 + 15x + x2 = 180 + -180

Combine like terms: 126 + -180 = -54
-54 + 15x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-54 + 15x + x2 = 0

Factor a trinomial.
(-18 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18
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 = {-18, 3}