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Simplifying 98x3 + -50xy2 = 0 Reorder the terms: -50xy2 + 98x3 = 0 Solving -50xy2 + 98x3 = 0 Solving for variable 'x'. 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 = 0Subproblem 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 = -0.7142857143ySubproblem 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 = 0.7142857143ySolution
x = {0, -0.7142857143y, 0.7142857143y}
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