2x^2+13x+20=(x+4)

Solution for 2x^2+13x+20=(x+4) equation:

Simplifying
2x2 + 13x + 20 = (x + 4)

Reorder the terms:
20 + 13x + 2x2 = (x + 4)

Reorder the terms:
20 + 13x + 2x2 = (4 + x)

Remove parenthesis around (4 + x)
20 + 13x + 2x2 = 4 + x

Solving
20 + 13x + 2x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
20 + -4 + 13x + -1x + 2x2 = 4 + x + -4 + -1x

Combine like terms: 20 + -4 = 16
16 + 13x + -1x + 2x2 = 4 + x + -4 + -1x

Combine like terms: 13x + -1x = 12x
16 + 12x + 2x2 = 4 + x + -4 + -1x

Reorder the terms:
16 + 12x + 2x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
16 + 12x + 2x2 = 0 + x + -1x
16 + 12x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
16 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 6x + x2) = 0

Factor a trinomial.
2((4 + x)(2 + x)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {-4, -2}