3x(2x+8)(x-6)(3)(x-5)=0

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Solution for 3x(2x+8)(x-6)(3)(x-5)=0 equation: 


Simplifying
3x(2x + 8)(x + -6)(3)(x + -5) = 0

Reorder the terms:
3x(8 + 2x)(x + -6)(3)(x + -5) = 0

Reorder the terms:
3x(8 + 2x)(-6 + x)(3)(x + -5) = 0

Reorder the terms:
3x(8 + 2x)(-6 + x) * 3(-5 + x) = 0

Reorder the terms for easier multiplication:
3 * 3x(8 + 2x)(-6 + x)(-5 + x) = 0

Multiply 3 * 3
9x(8 + 2x)(-6 + x)(-5 + x) = 0

Multiply (8 + 2x) * (-6 + x)
9x(8(-6 + x) + 2x * (-6 + x))(-5 + x) = 0
9x((-6 * 8 + x * 8) + 2x * (-6 + x))(-5 + x) = 0
9x((-48 + 8x) + 2x * (-6 + x))(-5 + x) = 0
9x(-48 + 8x + (-6 * 2x + x * 2x))(-5 + x) = 0
9x(-48 + 8x + (-12x + 2x2))(-5 + x) = 0

Combine like terms: 8x + -12x = -4x
9x(-48 + -4x + 2x2)(-5 + x) = 0

Multiply (-48 + -4x + 2x2) * (-5 + x)
9x(-48(-5 + x) + -4x * (-5 + x) + 2x2 * (-5 + x)) = 0
9x((-5 * -48 + x * -48) + -4x * (-5 + x) + 2x2 * (-5 + x)) = 0
9x((240 + -48x) + -4x * (-5 + x) + 2x2 * (-5 + x)) = 0
9x(240 + -48x + (-5 * -4x + x * -4x) + 2x2 * (-5 + x)) = 0
9x(240 + -48x + (20x + -4x2) + 2x2 * (-5 + x)) = 0
9x(240 + -48x + 20x + -4x2 + (-5 * 2x2 + x * 2x2)) = 0
9x(240 + -48x + 20x + -4x2 + (-10x2 + 2x3)) = 0

Combine like terms: -48x + 20x = -28x
9x(240 + -28x + -4x2 + -10x2 + 2x3) = 0

Combine like terms: -4x2 + -10x2 = -14x2
9x(240 + -28x + -14x2 + 2x3) = 0
(240 * 9x + -28x * 9x + -14x2 * 9x + 2x3 * 9x) = 0
(2160x + -252x2 + -126x3 + 18x4) = 0

Solving
2160x + -252x2 + -126x3 + 18x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18x'.
18x(120 + -14x + -7x2 + x3) = 0

Ignore the factor 18.

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 '(120 + -14x + -7x2 + x3)' equal to zero and attempt to solve:

Simplifying
120 + -14x + -7x2 + x3 = 0

Solving
120 + -14x + -7x2 + x3 = 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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