(x-5)(3x+6)(2x-4)=0

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Solution for (x-5)(3x+6)(2x-4)=0 equation: 


Simplifying
(x + -5)(3x + 6)(2x + -4) = 0

Reorder the terms:
(-5 + x)(3x + 6)(2x + -4) = 0

Reorder the terms:
(-5 + x)(6 + 3x)(2x + -4) = 0

Reorder the terms:
(-5 + x)(6 + 3x)(-4 + 2x) = 0

Multiply (-5 + x) * (6 + 3x)
(-5(6 + 3x) + x(6 + 3x))(-4 + 2x) = 0
((6 * -5 + 3x * -5) + x(6 + 3x))(-4 + 2x) = 0
((-30 + -15x) + x(6 + 3x))(-4 + 2x) = 0
(-30 + -15x + (6 * x + 3x * x))(-4 + 2x) = 0
(-30 + -15x + (6x + 3x2))(-4 + 2x) = 0

Combine like terms: -15x + 6x = -9x
(-30 + -9x + 3x2)(-4 + 2x) = 0

Multiply (-30 + -9x + 3x2) * (-4 + 2x)
(-30(-4 + 2x) + -9x * (-4 + 2x) + 3x2 * (-4 + 2x)) = 0
((-4 * -30 + 2x * -30) + -9x * (-4 + 2x) + 3x2 * (-4 + 2x)) = 0
((120 + -60x) + -9x * (-4 + 2x) + 3x2 * (-4 + 2x)) = 0
(120 + -60x + (-4 * -9x + 2x * -9x) + 3x2 * (-4 + 2x)) = 0
(120 + -60x + (36x + -18x2) + 3x2 * (-4 + 2x)) = 0
(120 + -60x + 36x + -18x2 + (-4 * 3x2 + 2x * 3x2)) = 0
(120 + -60x + 36x + -18x2 + (-12x2 + 6x3)) = 0

Combine like terms: -60x + 36x = -24x
(120 + -24x + -18x2 + -12x2 + 6x3) = 0

Combine like terms: -18x2 + -12x2 = -30x2
(120 + -24x + -30x2 + 6x3) = 0

Solving
120 + -24x + -30x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(20 + -4x + -5x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(20 + -4x + -5x2 + x3)' equal to zero and attempt to solve:

Simplifying
20 + -4x + -5x2 + x3 = 0

Solving
20 + -4x + -5x2 + 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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