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

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


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

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

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

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

Multiply (2 + 3x) * (-3 + 5x)
x(2(-3 + 5x) + 3x * (-3 + 5x))(2 + x) = 0
x((-3 * 2 + 5x * 2) + 3x * (-3 + 5x))(2 + x) = 0
x((-6 + 10x) + 3x * (-3 + 5x))(2 + x) = 0
x(-6 + 10x + (-3 * 3x + 5x * 3x))(2 + x) = 0
x(-6 + 10x + (-9x + 15x2))(2 + x) = 0

Combine like terms: 10x + -9x = 1x
x(-6 + 1x + 15x2)(2 + x) = 0

Multiply (-6 + 1x + 15x2) * (2 + x)
x(-6(2 + x) + 1x * (2 + x) + 15x2 * (2 + x)) = 0
x((2 * -6 + x * -6) + 1x * (2 + x) + 15x2 * (2 + x)) = 0
x((-12 + -6x) + 1x * (2 + x) + 15x2 * (2 + x)) = 0
x(-12 + -6x + (2 * 1x + x * 1x) + 15x2 * (2 + x)) = 0
x(-12 + -6x + (2x + 1x2) + 15x2 * (2 + x)) = 0
x(-12 + -6x + 2x + 1x2 + (2 * 15x2 + x * 15x2)) = 0
x(-12 + -6x + 2x + 1x2 + (30x2 + 15x3)) = 0

Combine like terms: -6x + 2x = -4x
x(-12 + -4x + 1x2 + 30x2 + 15x3) = 0

Combine like terms: 1x2 + 30x2 = 31x2
x(-12 + -4x + 31x2 + 15x3) = 0
(-12 * x + -4x * x + 31x2 * x + 15x3 * x) = 0
(-12x + -4x2 + 31x3 + 15x4) = 0

Solving
-12x + -4x2 + 31x3 + 15x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -4x + 31x2 + 15x3) = 0


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 '(-12 + -4x + 31x2 + 15x3)' equal to zero and attempt to solve:

Simplifying
-12 + -4x + 31x2 + 15x3 = 0

Solving
-12 + -4x + 31x2 + 15x3 = 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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