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

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


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

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

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

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

Multiply (-3 + 2x) * (-5 + 3x)
x(-3(-5 + 3x) + 2x * (-5 + 3x))(4 + x) = 0
x((-5 * -3 + 3x * -3) + 2x * (-5 + 3x))(4 + x) = 0
x((15 + -9x) + 2x * (-5 + 3x))(4 + x) = 0
x(15 + -9x + (-5 * 2x + 3x * 2x))(4 + x) = 0
x(15 + -9x + (-10x + 6x2))(4 + x) = 0

Combine like terms: -9x + -10x = -19x
x(15 + -19x + 6x2)(4 + x) = 0

Multiply (15 + -19x + 6x2) * (4 + x)
x(15(4 + x) + -19x * (4 + x) + 6x2 * (4 + x)) = 0
x((4 * 15 + x * 15) + -19x * (4 + x) + 6x2 * (4 + x)) = 0
x((60 + 15x) + -19x * (4 + x) + 6x2 * (4 + x)) = 0
x(60 + 15x + (4 * -19x + x * -19x) + 6x2 * (4 + x)) = 0
x(60 + 15x + (-76x + -19x2) + 6x2 * (4 + x)) = 0
x(60 + 15x + -76x + -19x2 + (4 * 6x2 + x * 6x2)) = 0
x(60 + 15x + -76x + -19x2 + (24x2 + 6x3)) = 0

Combine like terms: 15x + -76x = -61x
x(60 + -61x + -19x2 + 24x2 + 6x3) = 0

Combine like terms: -19x2 + 24x2 = 5x2
x(60 + -61x + 5x2 + 6x3) = 0
(60 * x + -61x * x + 5x2 * x + 6x3 * x) = 0
(60x + -61x2 + 5x3 + 6x4) = 0

Solving
60x + -61x2 + 5x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(60 + -61x + 5x2 + 6x3) = 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 '(60 + -61x + 5x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
60 + -61x + 5x2 + 6x3 = 0

Solving
60 + -61x + 5x2 + 6x3 = 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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