x(3-10x)(5-2x)*4(-5-2x)(2-x)=

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Solution for x(3-10x)(5-2x)*4(-5-2x)(2-x)= equation: 


Simplifying
x(3 + -10x)(5 + -2x) * 4(-5 + -2x)(2 + -1x) = 0

Reorder the terms for easier multiplication:
4x(3 + -10x)(5 + -2x)(-5 + -2x)(2 + -1x) = 0

Multiply (3 + -10x) * (5 + -2x)
4x(3(5 + -2x) + -10x * (5 + -2x))(-5 + -2x)(2 + -1x) = 0
4x((5 * 3 + -2x * 3) + -10x * (5 + -2x))(-5 + -2x)(2 + -1x) = 0
4x((15 + -6x) + -10x * (5 + -2x))(-5 + -2x)(2 + -1x) = 0
4x(15 + -6x + (5 * -10x + -2x * -10x))(-5 + -2x)(2 + -1x) = 0
4x(15 + -6x + (-50x + 20x2))(-5 + -2x)(2 + -1x) = 0

Combine like terms: -6x + -50x = -56x
4x(15 + -56x + 20x2)(-5 + -2x)(2 + -1x) = 0

Multiply (15 + -56x + 20x2) * (-5 + -2x)
4x(15(-5 + -2x) + -56x * (-5 + -2x) + 20x2 * (-5 + -2x))(2 + -1x) = 0
4x((-5 * 15 + -2x * 15) + -56x * (-5 + -2x) + 20x2 * (-5 + -2x))(2 + -1x) = 0
4x((-75 + -30x) + -56x * (-5 + -2x) + 20x2 * (-5 + -2x))(2 + -1x) = 0
4x(-75 + -30x + (-5 * -56x + -2x * -56x) + 20x2 * (-5 + -2x))(2 + -1x) = 0
4x(-75 + -30x + (280x + 112x2) + 20x2 * (-5 + -2x))(2 + -1x) = 0
4x(-75 + -30x + 280x + 112x2 + (-5 * 20x2 + -2x * 20x2))(2 + -1x) = 0
4x(-75 + -30x + 280x + 112x2 + (-100x2 + -40x3))(2 + -1x) = 0

Combine like terms: -30x + 280x = 250x
4x(-75 + 250x + 112x2 + -100x2 + -40x3)(2 + -1x) = 0

Combine like terms: 112x2 + -100x2 = 12x2
4x(-75 + 250x + 12x2 + -40x3)(2 + -1x) = 0

Multiply (-75 + 250x + 12x2 + -40x3) * (2 + -1x)
4x(-75(2 + -1x) + 250x * (2 + -1x) + 12x2 * (2 + -1x) + -40x3 * (2 + -1x)) = 0
4x((2 * -75 + -1x * -75) + 250x * (2 + -1x) + 12x2 * (2 + -1x) + -40x3 * (2 + -1x)) = 0
4x((-150 + 75x) + 250x * (2 + -1x) + 12x2 * (2 + -1x) + -40x3 * (2 + -1x)) = 0
4x(-150 + 75x + (2 * 250x + -1x * 250x) + 12x2 * (2 + -1x) + -40x3 * (2 + -1x)) = 0
4x(-150 + 75x + (500x + -250x2) + 12x2 * (2 + -1x) + -40x3 * (2 + -1x)) = 0
4x(-150 + 75x + 500x + -250x2 + (2 * 12x2 + -1x * 12x2) + -40x3 * (2 + -1x)) = 0
4x(-150 + 75x + 500x + -250x2 + (24x2 + -12x3) + -40x3 * (2 + -1x)) = 0
4x(-150 + 75x + 500x + -250x2 + 24x2 + -12x3 + (2 * -40x3 + -1x * -40x3)) = 0
4x(-150 + 75x + 500x + -250x2 + 24x2 + -12x3 + (-80x3 + 40x4)) = 0

Combine like terms: 75x + 500x = 575x
4x(-150 + 575x + -250x2 + 24x2 + -12x3 + -80x3 + 40x4) = 0

Combine like terms: -250x2 + 24x2 = -226x2
4x(-150 + 575x + -226x2 + -12x3 + -80x3 + 40x4) = 0

Combine like terms: -12x3 + -80x3 = -92x3
4x(-150 + 575x + -226x2 + -92x3 + 40x4) = 0
(-150 * 4x + 575x * 4x + -226x2 * 4x + -92x3 * 4x + 40x4 * 4x) = 0
(-600x + 2300x2 + -904x3 + -368x4 + 160x5) = 0

Solving
-600x + 2300x2 + -904x3 + -368x4 + 160x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-150 + 575x + -226x2 + -92x3 + 40x4) = 0

Ignore the factor 4.

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 '(-150 + 575x + -226x2 + -92x3 + 40x4)' equal to zero and attempt to solve:

Simplifying
-150 + 575x + -226x2 + -92x3 + 40x4 = 0

Solving
-150 + 575x + -226x2 + -92x3 + 40x4 = 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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