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

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


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

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

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

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

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

Combine like terms: -6x + 4x = -2x
3(-12 + -2x + 2x2)(-1 + x) = 0

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

Combine like terms: -12x + 2x = -10x
3(12 + -10x + -2x2 + -2x2 + 2x3) = 0

Combine like terms: -2x2 + -2x2 = -4x2
3(12 + -10x + -4x2 + 2x3) = 0
(12 * 3 + -10x * 3 + -4x2 * 3 + 2x3 * 3) = 0
(36 + -30x + -12x2 + 6x3) = 0

Solving
36 + -30x + -12x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + -5x + -2x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(6 + -5x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
6 + -5x + -2x2 + x3 = 0

Solving
6 + -5x + -2x2 + x3 = 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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