-8x(-3-6x)=0

Solution for -8x(-3-6x)=0 equation:

Simplifying
-8x(-3 + -6x) = 0
(-3 * -8x + -6x * -8x) = 0
(24x + 48x2) = 0

Solving
24x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x'.
24x(1 + 2x) = 0

Ignore the factor 24.
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 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}