(X^3+x^2)(-4x-4)=0

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Solution for (X^3+x^2)(-4x-4)=0 equation: 


Simplifying
(X3 + x2)(-4x + -4) = 0

Reorder the terms:
(X3 + x2)(-4 + -4x) = 0

Multiply (X3 + x2) * (-4 + -4x)
(X3(-4 + -4x) + x2(-4 + -4x)) = 0
((-4 * X3 + -4x * X3) + x2(-4 + -4x)) = 0
((-4X3 + -4xX3) + x2(-4 + -4x)) = 0
(-4X3 + -4xX3 + (-4 * x2 + -4x * x2)) = 0
(-4X3 + -4xX3 + (-4x2 + -4x3)) = 0
(-4X3 + -4xX3 + -4x2 + -4x3) = 0

Solving
-4X3 + -4xX3 + -4x2 + -4x3 = 0

Solving for variable 'X'.

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

Add '4x2' to each side of the equation.
-4X3 + -4xX3 + -4x2 + 4x2 + -4x3 = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-4X3 + -4xX3 + 0 + -4x3 = 0 + 4x2
-4X3 + -4xX3 + -4x3 = 0 + 4x2
Remove the zero:
-4X3 + -4xX3 + -4x3 = 4x2

Add '4x3' to each side of the equation.
-4X3 + -4xX3 + -4x3 + 4x3 = 4x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-4X3 + -4xX3 + 0 = 4x2 + 4x3
-4X3 + -4xX3 = 4x2 + 4x3

Reorder the terms:
-4X3 + -4xX3 + -4x2 + -4x3 = 4x2 + -4x2 + 4x3 + -4x3

Combine like terms: 4x2 + -4x2 = 0
-4X3 + -4xX3 + -4x2 + -4x3 = 0 + 4x3 + -4x3
-4X3 + -4xX3 + -4x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-4X3 + -4xX3 + -4x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(X3 + xX3 + x2 + x3) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(X3 + xX3 + x2 + x3)' equal to zero and attempt to solve:

Simplifying
X3 + xX3 + x2 + x3 = 0

Solving
X3 + xX3 + x2 + x3 = 0

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

Add '-1x2' to each side of the equation.
X3 + xX3 + x2 + -1x2 + x3 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
X3 + xX3 + 0 + x3 = 0 + -1x2
X3 + xX3 + x3 = 0 + -1x2
Remove the zero:
X3 + xX3 + x3 = -1x2

Add '-1x3' to each side of the equation.
X3 + xX3 + x3 + -1x3 = -1x2 + -1x3

Combine like terms: x3 + -1x3 = 0
X3 + xX3 + 0 = -1x2 + -1x3
X3 + xX3 = -1x2 + -1x3

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.

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