(2x-6)(3x+1)(x-1)=0

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Solution for (2x-6)(3x+1)(x-1)=0 equation: 


Simplifying
(2x + -6)(3x + 1)(x + -1) = 0

Reorder the terms:
(-6 + 2x)(3x + 1)(x + -1) = 0

Reorder the terms:
(-6 + 2x)(1 + 3x)(x + -1) = 0

Reorder the terms:
(-6 + 2x)(1 + 3x)(-1 + x) = 0

Multiply (-6 + 2x) * (1 + 3x)
(-6(1 + 3x) + 2x * (1 + 3x))(-1 + x) = 0
((1 * -6 + 3x * -6) + 2x * (1 + 3x))(-1 + x) = 0
((-6 + -18x) + 2x * (1 + 3x))(-1 + x) = 0
(-6 + -18x + (1 * 2x + 3x * 2x))(-1 + x) = 0
(-6 + -18x + (2x + 6x2))(-1 + x) = 0

Combine like terms: -18x + 2x = -16x
(-6 + -16x + 6x2)(-1 + x) = 0

Multiply (-6 + -16x + 6x2) * (-1 + x)
(-6(-1 + x) + -16x * (-1 + x) + 6x2 * (-1 + x)) = 0
((-1 * -6 + x * -6) + -16x * (-1 + x) + 6x2 * (-1 + x)) = 0
((6 + -6x) + -16x * (-1 + x) + 6x2 * (-1 + x)) = 0
(6 + -6x + (-1 * -16x + x * -16x) + 6x2 * (-1 + x)) = 0
(6 + -6x + (16x + -16x2) + 6x2 * (-1 + x)) = 0
(6 + -6x + 16x + -16x2 + (-1 * 6x2 + x * 6x2)) = 0
(6 + -6x + 16x + -16x2 + (-6x2 + 6x3)) = 0

Combine like terms: -6x + 16x = 10x
(6 + 10x + -16x2 + -6x2 + 6x3) = 0

Combine like terms: -16x2 + -6x2 = -22x2
(6 + 10x + -22x2 + 6x3) = 0

Solving
6 + 10x + -22x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 5x + -11x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + 5x + -11x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
3 + 5x + -11x2 + 3x3 = 0

Solving
3 + 5x + -11x2 + 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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