x^2+15x+15=2+x

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

Simplifying
x2 + 15x + 15 = 2 + x

Reorder the terms:
15 + 15x + x2 = 2 + x

Solving
15 + 15x + x2 = 2 + x

Solving for variable 'x'.

Reorder the terms:
15 + -2 + 15x + -1x + x2 = 2 + x + -2 + -1x

Combine like terms: 15 + -2 = 13
13 + 15x + -1x + x2 = 2 + x + -2 + -1x

Combine like terms: 15x + -1x = 14x
13 + 14x + x2 = 2 + x + -2 + -1x

Reorder the terms:
13 + 14x + x2 = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
13 + 14x + x2 = 0 + x + -1x
13 + 14x + x2 = x + -1x

Combine like terms: x + -1x = 0
13 + 14x + x2 = 0

Factor a trinomial.
(13 + x)(1 + 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 '(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 = {-13, -1}