x^2+26x=-88

Solution for x^2+26x=-88 equation:

Simplifying
x2 + 26x = -88

Reorder the terms:
26x + x2 = -88

Solving
26x + x2 = -88

Solving for variable 'x'.

Reorder the terms:
88 + 26x + x2 = -88 + 88

Combine like terms: -88 + 88 = 0
88 + 26x + x2 = 0

Factor a trinomial.
(22 + x)(4 + x) = 0

Subproblem 1
Set the factor '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 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 + x = 0 + -22

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

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

Simplifying
x = -22
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-22, -4}