(3x^2-x)(x^2-4)(2x-1)=0

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Solution for (3x^2-x)(x^2-4)(2x-1)=0 equation: 


Simplifying
(3x2 + -1x)(x2 + -4)(2x + -1) = 0

Reorder the terms:
(-1x + 3x2)(x2 + -4)(2x + -1) = 0

Reorder the terms:
(-1x + 3x2)(-4 + x2)(2x + -1) = 0

Reorder the terms:
(-1x + 3x2)(-4 + x2)(-1 + 2x) = 0

Multiply (-1x + 3x2) * (-4 + x2)
(-1x * (-4 + x2) + 3x2 * (-4 + x2))(-1 + 2x) = 0
((-4 * -1x + x2 * -1x) + 3x2 * (-4 + x2))(-1 + 2x) = 0
((4x + -1x3) + 3x2 * (-4 + x2))(-1 + 2x) = 0
(4x + -1x3 + (-4 * 3x2 + x2 * 3x2))(-1 + 2x) = 0
(4x + -1x3 + (-12x2 + 3x4))(-1 + 2x) = 0

Reorder the terms:
(4x + -12x2 + -1x3 + 3x4)(-1 + 2x) = 0
(4x + -12x2 + -1x3 + 3x4)(-1 + 2x) = 0

Multiply (4x + -12x2 + -1x3 + 3x4) * (-1 + 2x)
(4x * (-1 + 2x) + -12x2 * (-1 + 2x) + -1x3 * (-1 + 2x) + 3x4 * (-1 + 2x)) = 0
((-1 * 4x + 2x * 4x) + -12x2 * (-1 + 2x) + -1x3 * (-1 + 2x) + 3x4 * (-1 + 2x)) = 0
((-4x + 8x2) + -12x2 * (-1 + 2x) + -1x3 * (-1 + 2x) + 3x4 * (-1 + 2x)) = 0
(-4x + 8x2 + (-1 * -12x2 + 2x * -12x2) + -1x3 * (-1 + 2x) + 3x4 * (-1 + 2x)) = 0
(-4x + 8x2 + (12x2 + -24x3) + -1x3 * (-1 + 2x) + 3x4 * (-1 + 2x)) = 0
(-4x + 8x2 + 12x2 + -24x3 + (-1 * -1x3 + 2x * -1x3) + 3x4 * (-1 + 2x)) = 0
(-4x + 8x2 + 12x2 + -24x3 + (1x3 + -2x4) + 3x4 * (-1 + 2x)) = 0
(-4x + 8x2 + 12x2 + -24x3 + 1x3 + -2x4 + (-1 * 3x4 + 2x * 3x4)) = 0
(-4x + 8x2 + 12x2 + -24x3 + 1x3 + -2x4 + (-3x4 + 6x5)) = 0

Combine like terms: 8x2 + 12x2 = 20x2
(-4x + 20x2 + -24x3 + 1x3 + -2x4 + -3x4 + 6x5) = 0

Combine like terms: -24x3 + 1x3 = -23x3
(-4x + 20x2 + -23x3 + -2x4 + -3x4 + 6x5) = 0

Combine like terms: -2x4 + -3x4 = -5x4
(-4x + 20x2 + -23x3 + -5x4 + 6x5) = 0

Solving
-4x + 20x2 + -23x3 + -5x4 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 20x + -23x2 + -5x3 + 6x4) = 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 '(-4 + 20x + -23x2 + -5x3 + 6x4)' equal to zero and attempt to solve:

Simplifying
-4 + 20x + -23x2 + -5x3 + 6x4 = 0

Solving
-4 + 20x + -23x2 + -5x3 + 6x4 = 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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