x^2+13x+42=(x+6)

Solution for x^2+13x+42=(x+6) equation:

Simplifying
x2 + 13x + 42 = (x + 6)

Reorder the terms:
42 + 13x + x2 = (x + 6)

Reorder the terms:
42 + 13x + x2 = (6 + x)

Remove parenthesis around (6 + x)
42 + 13x + x2 = 6 + x

Solving
42 + 13x + x2 = 6 + x

Solving for variable 'x'.

Reorder the terms:
42 + -6 + 13x + -1x + x2 = 6 + x + -6 + -1x

Combine like terms: 42 + -6 = 36
36 + 13x + -1x + x2 = 6 + x + -6 + -1x

Combine like terms: 13x + -1x = 12x
36 + 12x + x2 = 6 + x + -6 + -1x

Reorder the terms:
36 + 12x + x2 = 6 + -6 + x + -1x

Combine like terms: 6 + -6 = 0
36 + 12x + x2 = 0 + x + -1x
36 + 12x + x2 = x + -1x

Combine like terms: x + -1x = 0
36 + 12x + x2 = 0

Factor a trinomial.
(6 + x)(6 + x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-6, -6}