(18x^3-200xy^2)=

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Solution for (18x^3-200xy^2)= equation: 


Simplifying
(18x3 + -200xy2) = 0

Reorder the terms:
(-200xy2 + 18x3) = 0

Remove parenthesis around (-200xy2 + 18x3)
-200xy2 + 18x3 = 0

Solving
-200xy2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-100y2 + 9x2) = 0

Factor a difference between two squares.
2x((10y + 3x)(-10y + 3x)) = 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 '(10y + 3x)' equal to zero and attempt to solve:

Simplifying
10y + 3x = 0

Reorder the terms:
3x + 10y = 0

Solving
3x + 10y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10y' to each side of the equation.
3x + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
3x + 0 = 0 + -10y
3x = 0 + -10y
Remove the zero:
3x = -10y

Divide each side by '3'.
x = -3.333333333y

Simplifying
x = -3.333333333y

Subproblem 3
Set the factor '(-10y + 3x)' equal to zero and attempt to solve:

Simplifying
-10y + 3x = 0

Reorder the terms:
3x + -10y = 0

Solving
3x + -10y = 0

Move all terms containing x to the left, all other terms to the right.

Add '10y' to each side of the equation.
3x + -10y + 10y = 0 + 10y

Combine like terms: -10y + 10y = 0
3x + 0 = 0 + 10y
3x = 0 + 10y
Remove the zero:
3x = 10y

Divide each side by '3'.
x = 3.333333333y

Simplifying
x = 3.333333333y
Solution
x = {0, -3.333333333y, 3.333333333y}

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