5x^2=15xy^2

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Solution for 5x^2=15xy^2 equation:


Simplifying
5x2 = 15xy2

Solving
5x2 = 15xy2

Solving for variable 'x'.

Reorder the terms:
-15xy2 + 5x2 = 15xy2 + -15xy2

Combine like terms: 15xy2 + -15xy2 = 0
-15xy2 + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-3y2 + x) = 0

Ignore the factor 5.

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 '(-3y2 + x)' equal to zero and attempt to solve: Simplifying -3y2 + x = 0 Reorder the terms: x + -3y2 = 0 Solving x + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. x + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 x + 0 = 0 + 3y2 x = 0 + 3y2 Remove the zero: x = 3y2 Simplifying x = 3y2

Solution

x = {0, 3y2}

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