(x-4)(x^2-x)(-6)=

Solution for (x-4)(x^2-x)(-6)= equation:

Simplifying
(x + -4)(x2 + -1x)(-6) = 0

Reorder the terms:
(-4 + x)(x2 + -1x)(-6) = 0

Reorder the terms:
(-4 + x)(-1x + x2)(-6) = 0

Reorder the terms for easier multiplication:
-6(-4 + x)(-1x + x2) = 0

Multiply (-4 + x) * (-1x + x2)
-6(-4(-1x + x2) + x(-1x + x2)) = 0
-6((-1x * -4 + x2 * -4) + x(-1x + x2)) = 0
-6((4x + -4x2) + x(-1x + x2)) = 0
-6(4x + -4x2 + (-1x * x + x2 * x)) = 0
-6(4x + -4x2 + (-1x2 + x3)) = 0

Combine like terms: -4x2 + -1x2 = -5x2
-6(4x + -5x2 + x3) = 0
(4x * -6 + -5x2 * -6 + x3 * -6) = 0
(-24x + 30x2 + -6x3) = 0

Solving
-24x + 30x2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-4 + 5x + -1x2) = 0

Factor a trinomial.
6x((-4 + x)(1 + -1x)) = 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
Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0, 4, 1}