0=98x^3-50xy^2

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Solution for 0=98x^3-50xy^2 equation:


Simplifying
0 = 98x3 + -50xy2

Reorder the terms:
0 = -50xy2 + 98x3

Solving
0 = -50xy2 + 98x3

Solving for variable 'x'.
Remove the zero:
50xy2 + -98x3 = -50xy2 + 98x3 + 50xy2 + -98x3

Reorder the terms:
50xy2 + -98x3 = -50xy2 + 50xy2 + 98x3 + -98x3

Combine like terms: -50xy2 + 50xy2 = 0
50xy2 + -98x3 = 0 + 98x3 + -98x3
50xy2 + -98x3 = 98x3 + -98x3

Combine like terms: 98x3 + -98x3 = 0
50xy2 + -98x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(25y2 + -49x2) = 0

Factor a difference between two squares.
2x((5y + 7x)(5y + -7x)) = 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 '(5y + 7x)' equal to zero and attempt to solve: Simplifying 5y + 7x = 0 Reorder the terms: 7x + 5y = 0 Solving 7x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 7x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 7x + 0 = 0 + -5y 7x = 0 + -5y Remove the zero: 7x = -5y Divide each side by '7'. x = -0.7142857143y Simplifying x = -0.7142857143y

Subproblem 3

Set the factor '(5y + -7x)' equal to zero and attempt to solve: Simplifying 5y + -7x = 0 Reorder the terms: -7x + 5y = 0 Solving -7x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -7x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -7x + 0 = 0 + -5y -7x = 0 + -5y Remove the zero: -7x = -5y Divide each side by '-7'. x = 0.7142857143y Simplifying x = 0.7142857143y

Solution

x = {0, -0.7142857143y, 0.7142857143y}

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