-10x(10x-30)(10x+40)(10x-50)=0

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Solution for -10x(10x-30)(10x+40)(10x-50)=0 equation: 


Simplifying
-10x(10x + -30)(10x + 40)(10x + -50) = 0

Reorder the terms:
-10x(-30 + 10x)(10x + 40)(10x + -50) = 0

Reorder the terms:
-10x(-30 + 10x)(40 + 10x)(10x + -50) = 0

Reorder the terms:
-10x(-30 + 10x)(40 + 10x)(-50 + 10x) = 0

Multiply (-30 + 10x) * (40 + 10x)
-10x(-30(40 + 10x) + 10x * (40 + 10x))(-50 + 10x) = 0
-10x((40 * -30 + 10x * -30) + 10x * (40 + 10x))(-50 + 10x) = 0
-10x((-1200 + -300x) + 10x * (40 + 10x))(-50 + 10x) = 0
-10x(-1200 + -300x + (40 * 10x + 10x * 10x))(-50 + 10x) = 0
-10x(-1200 + -300x + (400x + 100x2))(-50 + 10x) = 0

Combine like terms: -300x + 400x = 100x
-10x(-1200 + 100x + 100x2)(-50 + 10x) = 0

Multiply (-1200 + 100x + 100x2) * (-50 + 10x)
-10x(-1200(-50 + 10x) + 100x * (-50 + 10x) + 100x2 * (-50 + 10x)) = 0
-10x((-50 * -1200 + 10x * -1200) + 100x * (-50 + 10x) + 100x2 * (-50 + 10x)) = 0
-10x((60000 + -12000x) + 100x * (-50 + 10x) + 100x2 * (-50 + 10x)) = 0
-10x(60000 + -12000x + (-50 * 100x + 10x * 100x) + 100x2 * (-50 + 10x)) = 0
-10x(60000 + -12000x + (-5000x + 1000x2) + 100x2 * (-50 + 10x)) = 0
-10x(60000 + -12000x + -5000x + 1000x2 + (-50 * 100x2 + 10x * 100x2)) = 0
-10x(60000 + -12000x + -5000x + 1000x2 + (-5000x2 + 1000x3)) = 0

Combine like terms: -12000x + -5000x = -17000x
-10x(60000 + -17000x + 1000x2 + -5000x2 + 1000x3) = 0

Combine like terms: 1000x2 + -5000x2 = -4000x2
-10x(60000 + -17000x + -4000x2 + 1000x3) = 0
(60000 * -10x + -17000x * -10x + -4000x2 * -10x + 1000x3 * -10x) = 0
(-600000x + 170000x2 + 40000x3 + -10000x4) = 0

Solving
-600000x + 170000x2 + 40000x3 + -10000x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10000x'.
10000x(-60 + 17x + 4x2 + -1x3) = 0

Ignore the factor 10000.

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 + 17x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-60 + 17x + 4x2 + -1x3 = 0

Solving
-60 + 17x + 4x2 + -1x3 = 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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