x^2+20x+100=4

Solution for x^2+20x+100=4 equation:

Simplifying
x2 + 20x + 100 = 4

Reorder the terms:
100 + 20x + x2 = 4

Solving
100 + 20x + x2 = 4

Solving for variable 'x'.

Reorder the terms:
100 + -4 + 20x + x2 = 4 + -4

Combine like terms: 100 + -4 = 96
96 + 20x + x2 = 4 + -4

Combine like terms: 4 + -4 = 0
96 + 20x + x2 = 0

Factor a trinomial.
(12 + x)(8 + x) = 0

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

Simplifying
12 + x = 0

Solving
12 + x = 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 + x = 0 + -12

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

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

Simplifying
x = -12
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

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

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

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

Simplifying
x = -8
Solution
x = {-12, -8}