0=8x(x-6)

Solution for 0=8x(x-6) equation:

Simplifying
0 = 8x(x + -6)

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

Solving
0 = -48x + 8x2

Solving for variable 'x'.
Remove the zero:
48x + -8x2 = -48x + 8x2 + 48x + -8x2

Reorder the terms:
48x + -8x2 = -48x + 48x + 8x2 + -8x2

Combine like terms: -48x + 48x = 0
48x + -8x2 = 0 + 8x2 + -8x2
48x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
48x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(6 + -1x) = 0

Ignore the factor 8.
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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0, 6}