x^2+8x+27=180

Solution for x^2+8x+27=180 equation:

Simplifying
x2 + 8x + 27 = 180

Reorder the terms:
27 + 8x + x2 = 180

Solving
27 + 8x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
27 + -180 + 8x + x2 = 180 + -180

Combine like terms: 27 + -180 = -153
-153 + 8x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-153 + 8x + x2 = 0

Factor a trinomial.
(-17 + -1x)(9 + -1x) = 0

Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve:

Simplifying
-17 + -1x = 0

Solving
-17 + -1x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = 0 + 17
-1x = 0 + 17

Combine like terms: 0 + 17 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17
Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-17, 9}