x^2+30x-110=1034

Solution for x^2+30x-110=1034 equation:

Simplifying
x2 + 30x + -110 = 1034

Reorder the terms:
-110 + 30x + x2 = 1034

Solving
-110 + 30x + x2 = 1034

Solving for variable 'x'.

Reorder the terms:
-110 + -1034 + 30x + x2 = 1034 + -1034

Combine like terms: -110 + -1034 = -1144
-1144 + 30x + x2 = 1034 + -1034

Combine like terms: 1034 + -1034 = 0
-1144 + 30x + x2 = 0

Factor a trinomial.
(-52 + -1x)(22 + -1x) = 0

Subproblem 1
Set the factor '(-52 + -1x)' equal to zero and attempt to solve:

Simplifying
-52 + -1x = 0

Solving
-52 + -1x = 0

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

Add '52' to each side of the equation.
-52 + 52 + -1x = 0 + 52

Combine like terms: -52 + 52 = 0
0 + -1x = 0 + 52
-1x = 0 + 52

Combine like terms: 0 + 52 = 52
-1x = 52

Divide each side by '-1'.
x = -52

Simplifying
x = -52
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-52, 22}