3x(x+12)(x-5)(2x-3)=0

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Solution for 3x(x+12)(x-5)(2x-3)=0 equation: 


Simplifying
3x(x + 12)(x + -5)(2x + -3) = 0

Reorder the terms:
3x(12 + x)(x + -5)(2x + -3) = 0

Reorder the terms:
3x(12 + x)(-5 + x)(2x + -3) = 0

Reorder the terms:
3x(12 + x)(-5 + x)(-3 + 2x) = 0

Multiply (12 + x) * (-5 + x)
3x(12(-5 + x) + x(-5 + x))(-3 + 2x) = 0
3x((-5 * 12 + x * 12) + x(-5 + x))(-3 + 2x) = 0
3x((-60 + 12x) + x(-5 + x))(-3 + 2x) = 0
3x(-60 + 12x + (-5 * x + x * x))(-3 + 2x) = 0
3x(-60 + 12x + (-5x + x2))(-3 + 2x) = 0

Combine like terms: 12x + -5x = 7x
3x(-60 + 7x + x2)(-3 + 2x) = 0

Multiply (-60 + 7x + x2) * (-3 + 2x)
3x(-60(-3 + 2x) + 7x * (-3 + 2x) + x2(-3 + 2x)) = 0
3x((-3 * -60 + 2x * -60) + 7x * (-3 + 2x) + x2(-3 + 2x)) = 0
3x((180 + -120x) + 7x * (-3 + 2x) + x2(-3 + 2x)) = 0
3x(180 + -120x + (-3 * 7x + 2x * 7x) + x2(-3 + 2x)) = 0
3x(180 + -120x + (-21x + 14x2) + x2(-3 + 2x)) = 0
3x(180 + -120x + -21x + 14x2 + (-3 * x2 + 2x * x2)) = 0
3x(180 + -120x + -21x + 14x2 + (-3x2 + 2x3)) = 0

Combine like terms: -120x + -21x = -141x
3x(180 + -141x + 14x2 + -3x2 + 2x3) = 0

Combine like terms: 14x2 + -3x2 = 11x2
3x(180 + -141x + 11x2 + 2x3) = 0
(180 * 3x + -141x * 3x + 11x2 * 3x + 2x3 * 3x) = 0
(540x + -423x2 + 33x3 + 6x4) = 0

Solving
540x + -423x2 + 33x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(180 + -141x + 11x2 + 2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(180 + -141x + 11x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
180 + -141x + 11x2 + 2x3 = 0

Solving
180 + -141x + 11x2 + 2x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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