=8x(6x+6)

Solution for =8x(6x+6) equation:

Simplifying
0 = 8x(6x + 6)

Reorder the terms:
0 = 8x(6 + 6x)
0 = (6 * 8x + 6x * 8x)
0 = (48x + 48x2)

Solving
0 = 48x + 48x2

Solving for variable 'x'.
Remove the zero:
-48x + -48x2 = 48x + 48x2 + -48x + -48x2

Reorder the terms:
-48x + -48x2 = 48x + -48x + 48x2 + -48x2

Combine like terms: 48x + -48x = 0
-48x + -48x2 = 0 + 48x2 + -48x2
-48x + -48x2 = 48x2 + -48x2

Combine like terms: 48x2 + -48x2 = 0
-48x + -48x2 = 0

Factor out the Greatest Common Factor (GCF), '-48x'.
-48x(1 + x) = 0

Ignore the factor -48.
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 '(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 = {0, -1}