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Simplifying 5x2 + -10xy2 = 0 Reorder the terms: -10xy2 + 5x2 = 0 Solving -10xy2 + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-2y2 + 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 = 0Subproblem 2
Set the factor '(-2y2 + x)' equal to zero and attempt to solve: Simplifying -2y2 + x = 0 Reorder the terms: x + -2y2 = 0 Solving x + -2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2y2' to each side of the equation. x + -2y2 + 2y2 = 0 + 2y2 Combine like terms: -2y2 + 2y2 = 0 x + 0 = 0 + 2y2 x = 0 + 2y2 Remove the zero: x = 2y2 Simplifying x = 2y2Solution
x = {0, 2y2}
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