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

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


Simplifying
2x(5 + -1x)(3x + -4)(x + 2) = 0

Reorder the terms:
2x(5 + -1x)(-4 + 3x)(x + 2) = 0

Reorder the terms:
2x(5 + -1x)(-4 + 3x)(2 + x) = 0

Multiply (5 + -1x) * (-4 + 3x)
2x(5(-4 + 3x) + -1x * (-4 + 3x))(2 + x) = 0
2x((-4 * 5 + 3x * 5) + -1x * (-4 + 3x))(2 + x) = 0
2x((-20 + 15x) + -1x * (-4 + 3x))(2 + x) = 0
2x(-20 + 15x + (-4 * -1x + 3x * -1x))(2 + x) = 0
2x(-20 + 15x + (4x + -3x2))(2 + x) = 0

Combine like terms: 15x + 4x = 19x
2x(-20 + 19x + -3x2)(2 + x) = 0

Multiply (-20 + 19x + -3x2) * (2 + x)
2x(-20(2 + x) + 19x * (2 + x) + -3x2 * (2 + x)) = 0
2x((2 * -20 + x * -20) + 19x * (2 + x) + -3x2 * (2 + x)) = 0
2x((-40 + -20x) + 19x * (2 + x) + -3x2 * (2 + x)) = 0
2x(-40 + -20x + (2 * 19x + x * 19x) + -3x2 * (2 + x)) = 0
2x(-40 + -20x + (38x + 19x2) + -3x2 * (2 + x)) = 0
2x(-40 + -20x + 38x + 19x2 + (2 * -3x2 + x * -3x2)) = 0
2x(-40 + -20x + 38x + 19x2 + (-6x2 + -3x3)) = 0

Combine like terms: -20x + 38x = 18x
2x(-40 + 18x + 19x2 + -6x2 + -3x3) = 0

Combine like terms: 19x2 + -6x2 = 13x2
2x(-40 + 18x + 13x2 + -3x3) = 0
(-40 * 2x + 18x * 2x + 13x2 * 2x + -3x3 * 2x) = 0
(-80x + 36x2 + 26x3 + -6x4) = 0

Solving
-80x + 36x2 + 26x3 + -6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-40 + 18x + 13x2 + -3x3) = 0

Ignore the factor 2.

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 '(-40 + 18x + 13x2 + -3x3)' equal to zero and attempt to solve:

Simplifying
-40 + 18x + 13x2 + -3x3 = 0

Solving
-40 + 18x + 13x2 + -3x3 = 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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