(x^2)+4+x+30+90=180

Solution for (x^2)+4+x+30+90=180 equation:

Simplifying
(x2) + 4 + x + 30 + 90 = 180
x2 + 4 + x + 30 + 90 = 180

Reorder the terms:
4 + 30 + 90 + x + x2 = 180

Combine like terms: 4 + 30 = 34
34 + 90 + x + x2 = 180

Combine like terms: 34 + 90 = 124
124 + x + x2 = 180

Solving
124 + x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
124 + -180 + x + x2 = 180 + -180

Combine like terms: 124 + -180 = -56
-56 + x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-56 + x + x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8, 7}