x^2+11x+15=5

Solution for x^2+11x+15=5 equation:

Simplifying
x2 + 11x + 15 = 5

Reorder the terms:
15 + 11x + x2 = 5

Solving
15 + 11x + x2 = 5

Solving for variable 'x'.

Reorder the terms:
15 + -5 + 11x + x2 = 5 + -5

Combine like terms: 15 + -5 = 10
10 + 11x + x2 = 5 + -5

Combine like terms: 5 + -5 = 0
10 + 11x + x2 = 0

Factor a trinomial.
(10 + x)(1 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-10, -1}