(X-6)*(x^2+4x)=

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


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

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

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

Multiply (-6 + X) * (4x + x2)
(-6(4x + x2) + X(4x + x2)) = 0
((4x * -6 + x2 * -6) + X(4x + x2)) = 0
((-24x + -6x2) + X(4x + x2)) = 0
(-24x + -6x2 + (4x * X + x2 * X)) = 0
(-24x + -6x2 + (4xX + x2X)) = 0

Reorder the terms:
(-24x + 4xX + -6x2 + x2X) = 0
(-24x + 4xX + -6x2 + x2X) = 0

Solving
-24x + 4xX + -6x2 + x2X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + 4X + -6x + xX) = 0


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 '(-24 + 4X + -6x + xX)' equal to zero and attempt to solve:

Simplifying
-24 + 4X + -6x + xX = 0

Solving
-24 + 4X + -6x + xX = 0

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

Add '24' to each side of the equation.
-24 + 4X + -6x + 24 + xX = 0 + 24

Reorder the terms:
-24 + 24 + 4X + -6x + xX = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 4X + -6x + xX = 0 + 24
4X + -6x + xX = 0 + 24

Combine like terms: 0 + 24 = 24
4X + -6x + xX = 24

Add '-4X' to each side of the equation.
4X + -6x + -4X + xX = 24 + -4X

Reorder the terms:
4X + -4X + -6x + xX = 24 + -4X

Combine like terms: 4X + -4X = 0
0 + -6x + xX = 24 + -4X
-6x + xX = 24 + -4X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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