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Simplifying 25x2Y2 + 10xy2 = 0 Reorder the terms: 10xy2 + 25x2Y2 = 0 Solving 10xy2 + 25x2Y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(2y2 + 5xY2) = 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 + 5xY2)' equal to zero and attempt to solve: Simplifying 2y2 + 5xY2 = 0 Reorder the terms: 5xY2 + 2y2 = 0 Solving 5xY2 + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. 5xY2 + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 5xY2 + 0 = 0 + -2y2 5xY2 = 0 + -2y2 Remove the zero: 5xY2 = -2y2 Divide each side by '5Y2'. x = -0.4y2Y-2 Simplifying x = -0.4y2Y-2Solution
x = {0, -0.4y2Y-2}
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