6x^2+24x-6=-6

Solution for 6x^2+24x-6=-6 equation:

Simplifying
6x2 + 24x + -6 = -6

Reorder the terms:
-6 + 24x + 6x2 = -6

Add '6' to each side of the equation.
-6 + 24x + 6 + 6x2 = -6 + 6

Reorder the terms:
-6 + 6 + 24x + 6x2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + 24x + 6x2 = -6 + 6
24x + 6x2 = -6 + 6

Combine like terms: -6 + 6 = 0
24x + 6x2 = 0

Solving
24x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(4 + x) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {0, -4}