(x+20)=(x+2)(x)

Solution for (x+20)=(x+2)(x) equation:

Simplifying
(x + 20) = (x + 2)(x)

Reorder the terms:
(20 + x) = (x + 2)(x)

Remove parenthesis around (20 + x)
20 + x = (x + 2)(x)

Reorder the terms:
20 + x = (2 + x)(x)

Reorder the terms for easier multiplication:
20 + x = x(2 + x)
20 + x = (2 * x + x * x)
20 + x = (2x + x2)

Solving
20 + x = 2x + x2

Solving for variable 'x'.

Combine like terms: x + -2x = -1x
20 + -1x + -1x2 = 2x + x2 + -2x + -1x2

Reorder the terms:
20 + -1x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
20 + -1x + -1x2 = 0 + x2 + -1x2
20 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
20 + -1x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(5 + x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {4, -5}