-24x(x-4)=

Solution for -24x(x-4)= equation:

Simplifying
-24x(x + -4) = 0

Reorder the terms:
-24x(-4 + x) = 0
(-4 * -24x + x * -24x) = 0
(96x + -24x2) = 0

Solving
96x + -24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24x'.
24x(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

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