(X+6)(x^2-2x)(3x-2)(x+7)=

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Solution for (X+6)(x^2-2x)(3x-2)(x+7)= equation: 


Simplifying
(X + 6)(x2 + -2x)(3x + -2)(x + 7) = 0

Reorder the terms:
(6 + X)(x2 + -2x)(3x + -2)(x + 7) = 0

Reorder the terms:
(6 + X)(-2x + x2)(3x + -2)(x + 7) = 0

Reorder the terms:
(6 + X)(-2x + x2)(-2 + 3x)(x + 7) = 0

Reorder the terms:
(6 + X)(-2x + x2)(-2 + 3x)(7 + x) = 0

Multiply (6 + X) * (-2x + x2)
(6(-2x + x2) + X(-2x + x2))(-2 + 3x)(7 + x) = 0
((-2x * 6 + x2 * 6) + X(-2x + x2))(-2 + 3x)(7 + x) = 0
((-12x + 6x2) + X(-2x + x2))(-2 + 3x)(7 + x) = 0
(-12x + 6x2 + (-2x * X + x2 * X))(-2 + 3x)(7 + x) = 0
(-12x + 6x2 + (-2xX + x2X))(-2 + 3x)(7 + x) = 0

Reorder the terms:
(-12x + -2xX + 6x2 + x2X)(-2 + 3x)(7 + x) = 0
(-12x + -2xX + 6x2 + x2X)(-2 + 3x)(7 + x) = 0

Multiply (-12x + -2xX + 6x2 + x2X) * (-2 + 3x)
(-12x * (-2 + 3x) + -2xX * (-2 + 3x) + 6x2 * (-2 + 3x) + x2X(-2 + 3x))(7 + x) = 0
((-2 * -12x + 3x * -12x) + -2xX * (-2 + 3x) + 6x2 * (-2 + 3x) + x2X(-2 + 3x))(7 + x) = 0
((24x + -36x2) + -2xX * (-2 + 3x) + 6x2 * (-2 + 3x) + x2X(-2 + 3x))(7 + x) = 0
(24x + -36x2 + (-2 * -2xX + 3x * -2xX) + 6x2 * (-2 + 3x) + x2X(-2 + 3x))(7 + x) = 0
(24x + -36x2 + (4xX + -6x2X) + 6x2 * (-2 + 3x) + x2X(-2 + 3x))(7 + x) = 0
(24x + -36x2 + 4xX + -6x2X + (-2 * 6x2 + 3x * 6x2) + x2X(-2 + 3x))(7 + x) = 0
(24x + -36x2 + 4xX + -6x2X + (-12x2 + 18x3) + x2X(-2 + 3x))(7 + x) = 0
(24x + -36x2 + 4xX + -6x2X + -12x2 + 18x3 + (-2 * x2X + 3x * x2X))(7 + x) = 0
(24x + -36x2 + 4xX + -6x2X + -12x2 + 18x3 + (-2x2X + 3x3X))(7 + x) = 0

Reorder the terms:
(24x + 4xX + -36x2 + -12x2 + -6x2X + -2x2X + 18x3 + 3x3X)(7 + x) = 0

Combine like terms: -36x2 + -12x2 = -48x2
(24x + 4xX + -48x2 + -6x2X + -2x2X + 18x3 + 3x3X)(7 + x) = 0

Combine like terms: -6x2X + -2x2X = -8x2X
(24x + 4xX + -48x2 + -8x2X + 18x3 + 3x3X)(7 + x) = 0

Multiply (24x + 4xX + -48x2 + -8x2X + 18x3 + 3x3X) * (7 + x)
(24x * (7 + x) + 4xX * (7 + x) + -48x2 * (7 + x) + -8x2X * (7 + x) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
((7 * 24x + x * 24x) + 4xX * (7 + x) + -48x2 * (7 + x) + -8x2X * (7 + x) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
((168x + 24x2) + 4xX * (7 + x) + -48x2 * (7 + x) + -8x2X * (7 + x) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
(168x + 24x2 + (7 * 4xX + x * 4xX) + -48x2 * (7 + x) + -8x2X * (7 + x) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
(168x + 24x2 + (28xX + 4x2X) + -48x2 * (7 + x) + -8x2X * (7 + x) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
(168x + 24x2 + 28xX + 4x2X + (7 * -48x2 + x * -48x2) + -8x2X * (7 + x) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
(168x + 24x2 + 28xX + 4x2X + (-336x2 + -48x3) + -8x2X * (7 + x) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
(168x + 24x2 + 28xX + 4x2X + -336x2 + -48x3 + (7 * -8x2X + x * -8x2X) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
(168x + 24x2 + 28xX + 4x2X + -336x2 + -48x3 + (-56x2X + -8x3X) + 18x3 * (7 + x) + 3x3X * (7 + x)) = 0
(168x + 24x2 + 28xX + 4x2X + -336x2 + -48x3 + -56x2X + -8x3X + (7 * 18x3 + x * 18x3) + 3x3X * (7 + x)) = 0
(168x + 24x2 + 28xX + 4x2X + -336x2 + -48x3 + -56x2X + -8x3X + (126x3 + 18x4) + 3x3X * (7 + x)) = 0
(168x + 24x2 + 28xX + 4x2X + -336x2 + -48x3 + -56x2X + -8x3X + 126x3 + 18x4 + (7 * 3x3X + x * 3x3X)) = 0
(168x + 24x2 + 28xX + 4x2X + -336x2 + -48x3 + -56x2X + -8x3X + 126x3 + 18x4 + (21x3X + 3x4X)) = 0

Reorder the terms:
(168x + 28xX + 24x2 + -336x2 + 4x2X + -56x2X + -48x3 + 126x3 + -8x3X + 21x3X + 18x4 + 3x4X) = 0

Combine like terms: 24x2 + -336x2 = -312x2
(168x + 28xX + -312x2 + 4x2X + -56x2X + -48x3 + 126x3 + -8x3X + 21x3X + 18x4 + 3x4X) = 0

Combine like terms: 4x2X + -56x2X = -52x2X
(168x + 28xX + -312x2 + -52x2X + -48x3 + 126x3 + -8x3X + 21x3X + 18x4 + 3x4X) = 0

Combine like terms: -48x3 + 126x3 = 78x3
(168x + 28xX + -312x2 + -52x2X + 78x3 + -8x3X + 21x3X + 18x4 + 3x4X) = 0

Combine like terms: -8x3X + 21x3X = 13x3X
(168x + 28xX + -312x2 + -52x2X + 78x3 + 13x3X + 18x4 + 3x4X) = 0

Solving
168x + 28xX + -312x2 + -52x2X + 78x3 + 13x3X + 18x4 + 3x4X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(168 + 28X + -312x + -52xX + 78x2 + 13x2X + 18x3 + 3x3X) = 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 '(168 + 28X + -312x + -52xX + 78x2 + 13x2X + 18x3 + 3x3X)' equal to zero and attempt to solve:

Simplifying
168 + 28X + -312x + -52xX + 78x2 + 13x2X + 18x3 + 3x3X = 0

Solving
168 + 28X + -312x + -52xX + 78x2 + 13x2X + 18x3 + 3x3X = 0

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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