x^2+20x+100=64

Solution for x^2+20x+100=64 equation:

Simplifying
x2 + 20x + 100 = 64

Reorder the terms:
100 + 20x + x2 = 64

Solving
100 + 20x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
100 + -64 + 20x + x2 = 64 + -64

Combine like terms: 100 + -64 = 36
36 + 20x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
36 + 20x + x2 = 0

Factor a trinomial.
(18 + x)(2 + x) = 0

Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-18, -2}