x^2-10+58+x=180

Solution for x^2-10+58+x=180 equation:

Simplifying
x2 + -10 + 58 + x = 180

Reorder the terms:
-10 + 58 + x + x2 = 180

Combine like terms: -10 + 58 = 48
48 + x + x2 = 180

Solving
48 + x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
48 + -180 + x + x2 = 180 + -180

Combine like terms: 48 + -180 = -132
-132 + x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-132 + x + x2 = 0

Factor a trinomial.
(-12 + -1x)(11 + -1x) = 0

Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-12, 11}