x^2+16x+58=-5

Solution for x^2+16x+58=-5 equation:

Simplifying
x2 + 16x + 58 = -5

Reorder the terms:
58 + 16x + x2 = -5

Solving
58 + 16x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
58 + 5 + 16x + x2 = -5 + 5

Combine like terms: 58 + 5 = 63
63 + 16x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
63 + 16x + x2 = 0

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

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
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 = {-9, -7}