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

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


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

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

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

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

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

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

Multiply (2 + -3x + x2) * (-3 + x)
2x(2(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 0
2x((-3 * 2 + x * 2) + -3x * (-3 + x) + x2(-3 + x)) = 0
2x((-6 + 2x) + -3x * (-3 + x) + x2(-3 + x)) = 0
2x(-6 + 2x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 0
2x(-6 + 2x + (9x + -3x2) + x2(-3 + x)) = 0
2x(-6 + 2x + 9x + -3x2 + (-3 * x2 + x * x2)) = 0
2x(-6 + 2x + 9x + -3x2 + (-3x2 + x3)) = 0

Combine like terms: 2x + 9x = 11x
2x(-6 + 11x + -3x2 + -3x2 + x3) = 0

Combine like terms: -3x2 + -3x2 = -6x2
2x(-6 + 11x + -6x2 + x3) = 0
(-6 * 2x + 11x * 2x + -6x2 * 2x + x3 * 2x) = 0
(-12x + 22x2 + -12x3 + 2x4) = 0

Solving
-12x + 22x2 + -12x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-6 + 11x + -6x2 + x3) = 0

Ignore the factor 2.

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 '(-6 + 11x + -6x2 + x3)' equal to zero and attempt to solve:

Simplifying
-6 + 11x + -6x2 + x3 = 0

Solving
-6 + 11x + -6x2 + x3 = 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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