x^3-16x^2+10000x=0

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Solution for x^3-16x^2+10000x=0 equation: 


Simplifying
x3 + -16x2 + 10000x = 0

Reorder the terms:
10000x + -16x2 + x3 = 0

Solving
10000x + -16x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10000 + -16x + x2) = 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 '(10000 + -16x + x2)' equal to zero and attempt to solve:

Simplifying
10000 + -16x + x2 = 0

Solving
10000 + -16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10000' to each side of the equation.
10000 + -16x + -10000 + x2 = 0 + -10000

Reorder the terms:
10000 + -10000 + -16x + x2 = 0 + -10000

Combine like terms: 10000 + -10000 = 0
0 + -16x + x2 = 0 + -10000
-16x + x2 = 0 + -10000

Combine like terms: 0 + -10000 = -10000
-16x + x2 = -10000

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -10000 + 64

Reorder the terms:
64 + -16x + x2 = -10000 + 64

Combine like terms: -10000 + 64 = -9936
64 + -16x + x2 = -9936

Factor a perfect square on the left side:
(x + -8)(x + -8) = -9936

Can't calculate square root of the right side.

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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