x^2+12x+35=-3x-1

Solution for x^2+12x+35=-3x-1 equation:

Simplifying
x2 + 12x + 35 = -3x + -1

Reorder the terms:
35 + 12x + x2 = -3x + -1

Reorder the terms:
35 + 12x + x2 = -1 + -3x

Solving
35 + 12x + x2 = -1 + -3x

Solving for variable 'x'.

Reorder the terms:
35 + 1 + 12x + 3x + x2 = -1 + -3x + 1 + 3x

Combine like terms: 35 + 1 = 36
36 + 12x + 3x + x2 = -1 + -3x + 1 + 3x

Combine like terms: 12x + 3x = 15x
36 + 15x + x2 = -1 + -3x + 1 + 3x

Reorder the terms:
36 + 15x + x2 = -1 + 1 + -3x + 3x

Combine like terms: -1 + 1 = 0
36 + 15x + x2 = 0 + -3x + 3x
36 + 15x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 15x + x2 = 0

Factor a trinomial.
(12 + x)(3 + x) = 0

Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-12, -3}