x^2+20x+184=100

Solution for x^2+20x+184=100 equation:

Simplifying
x2 + 20x + 184 = 100

Reorder the terms:
184 + 20x + x2 = 100

Solving
184 + 20x + x2 = 100

Solving for variable 'x'.

Reorder the terms:
184 + -100 + 20x + x2 = 100 + -100

Combine like terms: 184 + -100 = 84
84 + 20x + x2 = 100 + -100

Combine like terms: 100 + -100 = 0
84 + 20x + x2 = 0

Factor a trinomial.
(14 + x)(6 + x) = 0

Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-14, -6}