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

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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