x^2+20x+42=-49

Solution for x^2+20x+42=-49 equation:

Simplifying
x2 + 20x + 42 = -49

Reorder the terms:
42 + 20x + x2 = -49

Solving
42 + 20x + x2 = -49

Solving for variable 'x'.

Reorder the terms:
42 + 49 + 20x + x2 = -49 + 49

Combine like terms: 42 + 49 = 91
91 + 20x + x2 = -49 + 49

Combine like terms: -49 + 49 = 0
91 + 20x + x2 = 0

Factor a trinomial.
(13 + x)(7 + x) = 0

Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-13, -7}