-6=x^2+15x+30

Solution for -6=x^2+15x+30 equation:

Simplifying
-6 = x2 + 15x + 30

Reorder the terms:
-6 = 30 + 15x + x2

Solving
-6 = 30 + 15x + x2

Solving for variable 'x'.

Combine like terms: -6 + -30 = -36
-36 + -15x + -1x2 = 30 + 15x + x2 + -30 + -15x + -1x2

Reorder the terms:
-36 + -15x + -1x2 = 30 + -30 + 15x + -15x + x2 + -1x2

Combine like terms: 30 + -30 = 0
-36 + -15x + -1x2 = 0 + 15x + -15x + x2 + -1x2
-36 + -15x + -1x2 = 15x + -15x + x2 + -1x2

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(36 + 15x + x2) = 0

Factor a trinomial.
-1((12 + x)(3 + x)) = 0

Ignore the factor -1.
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}