x^2+20x=-64

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

Simplifying
x2 + 20x = -64

Reorder the terms:
20x + x2 = -64

Solving
20x + x2 = -64

Solving for variable 'x'.

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

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

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

Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
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 = {-16, -4}