(x-1)x(x+2)X(X-3)=0

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Solution for (x-1)x(x+2)X(X-3)=0 equation: 


Simplifying
(x + -1) * x(x + 2) * X(X + -3) = 0

Reorder the terms:
(-1 + x) * x(x + 2) * X(X + -3) = 0

Reorder the terms:
(-1 + x) * x(2 + x) * X(X + -3) = 0

Reorder the terms:
(-1 + x) * x(2 + x) * X(-3 + X) = 0

Reorder the terms for easier multiplication:
x * X(-1 + x)(2 + x)(-3 + X) = 0

Multiply x * X
xX(-1 + x)(2 + x)(-3 + X) = 0

Multiply (-1 + x) * (2 + x)
xX(-1(2 + x) + x(2 + x))(-3 + X) = 0
xX((2 * -1 + x * -1) + x(2 + x))(-3 + X) = 0
xX((-2 + -1x) + x(2 + x))(-3 + X) = 0
xX(-2 + -1x + (2 * x + x * x))(-3 + X) = 0
xX(-2 + -1x + (2x + x2))(-3 + X) = 0

Combine like terms: -1x + 2x = 1x
xX(-2 + 1x + x2)(-3 + X) = 0

Multiply (-2 + 1x + x2) * (-3 + X)
xX(-2(-3 + X) + 1x * (-3 + X) + x2(-3 + X)) = 0
xX((-3 * -2 + X * -2) + 1x * (-3 + X) + x2(-3 + X)) = 0
xX((6 + -2X) + 1x * (-3 + X) + x2(-3 + X)) = 0
xX(6 + -2X + (-3 * 1x + X * 1x) + x2(-3 + X)) = 0
xX(6 + -2X + (-3x + 1xX) + x2(-3 + X)) = 0
xX(6 + -2X + -3x + 1xX + (-3 * x2 + X * x2)) = 0
xX(6 + -2X + -3x + 1xX + (-3x2 + x2X)) = 0
xX(6 + -2X + -3x + 1xX + -3x2 + x2X) = 0
(6 * xX + -2X * xX + -3x * xX + 1xX * xX + -3x2 * xX + x2X * xX) = 0
(6xX + -2xX2 + -3x2X + 1x2X2 + -3x3X + x3X2) = 0

Solving
6xX + -2xX2 + -3x2X + 1x2X2 + -3x3X + x3X2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xX'.
xX(6 + -2X + -3x + xX + -3x2 + x2X) = 0


Subproblem 1
Set the factor 'xX' equal to zero and attempt to solve:

Simplifying
xX = 0

Solving
xX = 0

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

Simplifying
xX = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(6 + -2X + -3x + xX + -3x2 + x2X)' equal to zero and attempt to solve:

Simplifying
6 + -2X + -3x + xX + -3x2 + x2X = 0

Solving
6 + -2X + -3x + xX + -3x2 + x2X = 0

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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