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

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


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

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

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

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

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

Combine like terms: -2x + 4x = 2x
(-4 + 2x + 2x2)(-1 + 3x) = 0

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

Combine like terms: -12x + -2x = -14x
(4 + -14x + 6x2 + -2x2 + 6x3) = 0

Combine like terms: 6x2 + -2x2 = 4x2
(4 + -14x + 4x2 + 6x3) = 0

Solving
4 + -14x + 4x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -7x + 2x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -7x + 2x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
2 + -7x + 2x2 + 3x3 = 0

Solving
2 + -7x + 2x2 + 3x3 = 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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