(X-5)(x-6)(4)=120

Solution for (X-5)(x-6)(4)=120 equation:

Simplifying
(X + -5)(x + -6)(4) = 120

Reorder the terms:
(-5 + X)(x + -6)(4) = 120

Reorder the terms:
(-5 + X)(-6 + x)(4) = 120

Reorder the terms for easier multiplication:
4(-5 + X)(-6 + x) = 120

Multiply (-5 + X) * (-6 + x)
4(-5(-6 + x) + X(-6 + x)) = 120
4((-6 * -5 + x * -5) + X(-6 + x)) = 120
4((30 + -5x) + X(-6 + x)) = 120
4(30 + -5x + (-6 * X + x * X)) = 120
4(30 + -5x + (-6X + xX)) = 120

Reorder the terms:
4(30 + -6X + -5x + xX) = 120
4(30 + -6X + -5x + xX) = 120
(30 * 4 + -6X * 4 + -5x * 4 + xX * 4) = 120
(120 + -24X + -20x + 4xX) = 120

Add '-120' to each side of the equation.
120 + -24X + -20x + -120 + 4xX = 120 + -120

Reorder the terms:
120 + -120 + -24X + -20x + 4xX = 120 + -120

Combine like terms: 120 + -120 = 0
0 + -24X + -20x + 4xX = 120 + -120
-24X + -20x + 4xX = 120 + -120

Combine like terms: 120 + -120 = 0
-24X + -20x + 4xX = 0

Solving
-24X + -20x + 4xX = 0

Solving for variable 'X'.

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

Add '20x' to each side of the equation.
-24X + -20x + 20x + 4xX = 0 + 20x

Combine like terms: -20x + 20x = 0
-24X + 0 + 4xX = 0 + 20x
-24X + 4xX = 0 + 20x
Remove the zero:
-24X + 4xX = 20x

Reorder the terms:
-24X + -20x + 4xX = 20x + -20x

Combine like terms: 20x + -20x = 0
-24X + -20x + 4xX = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-6X + -5x + xX)' equal to zero and attempt to solve:

Simplifying
-6X + -5x + xX = 0

Solving
-6X + -5x + xX = 0

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

Add '5x' to each side of the equation.
-6X + -5x + 5x + xX = 0 + 5x

Combine like terms: -5x + 5x = 0
-6X + 0 + xX = 0 + 5x
-6X + xX = 0 + 5x
Remove the zero:
-6X + xX = 5x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.