(x+5)*(x-1)*(3x-6)=

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Solution for (x+5)*(x-1)*(3x-6)= equation: 


Simplifying
(x + 5)(x + -1)(3x + -6) = 0

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

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

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

Multiply (5 + x) * (-1 + x)
(5(-1 + x) + x(-1 + x))(-6 + 3x) = 0
((-1 * 5 + x * 5) + x(-1 + x))(-6 + 3x) = 0
((-5 + 5x) + x(-1 + x))(-6 + 3x) = 0
(-5 + 5x + (-1 * x + x * x))(-6 + 3x) = 0
(-5 + 5x + (-1x + x2))(-6 + 3x) = 0

Combine like terms: 5x + -1x = 4x
(-5 + 4x + x2)(-6 + 3x) = 0

Multiply (-5 + 4x + x2) * (-6 + 3x)
(-5(-6 + 3x) + 4x * (-6 + 3x) + x2(-6 + 3x)) = 0
((-6 * -5 + 3x * -5) + 4x * (-6 + 3x) + x2(-6 + 3x)) = 0
((30 + -15x) + 4x * (-6 + 3x) + x2(-6 + 3x)) = 0
(30 + -15x + (-6 * 4x + 3x * 4x) + x2(-6 + 3x)) = 0
(30 + -15x + (-24x + 12x2) + x2(-6 + 3x)) = 0
(30 + -15x + -24x + 12x2 + (-6 * x2 + 3x * x2)) = 0
(30 + -15x + -24x + 12x2 + (-6x2 + 3x3)) = 0

Combine like terms: -15x + -24x = -39x
(30 + -39x + 12x2 + -6x2 + 3x3) = 0

Combine like terms: 12x2 + -6x2 = 6x2
(30 + -39x + 6x2 + 3x3) = 0

Solving
30 + -39x + 6x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + -13x + 2x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(10 + -13x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
10 + -13x + 2x2 + x3 = 0

Solving
10 + -13x + 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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