(x+20)(x+20)=16

Solution for (x+20)(x+20)=16 equation:

Simplifying
(x + 20)(x + 20) = 16

Reorder the terms:
(20 + x)(x + 20) = 16

Reorder the terms:
(20 + x)(20 + x) = 16

Multiply (20 + x) * (20 + x)
(20(20 + x) + x(20 + x)) = 16
((20 * 20 + x * 20) + x(20 + x)) = 16
((400 + 20x) + x(20 + x)) = 16
(400 + 20x + (20 * x + x * x)) = 16
(400 + 20x + (20x + x2)) = 16

Combine like terms: 20x + 20x = 40x
(400 + 40x + x2) = 16

Solving
400 + 40x + x2 = 16

Solving for variable 'x'.

Reorder the terms:
400 + -16 + 40x + x2 = 16 + -16

Combine like terms: 400 + -16 = 384
384 + 40x + x2 = 16 + -16

Combine like terms: 16 + -16 = 0
384 + 40x + x2 = 0

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

Subproblem 1
Set the factor '(24 + x)' equal to zero and attempt to solve:

Simplifying
24 + x = 0

Solving
24 + x = 0

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

Add '-24' to each side of the equation.
24 + -24 + x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + x = 0 + -24
x = 0 + -24

Combine like terms: 0 + -24 = -24
x = -24

Simplifying
x = -24
Subproblem 2
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
Solution
x = {-24, -16}