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Simplifying 0 = -5xy2 + 10x2y + 9xy2 Reorder the terms: 0 = -5xy2 + 9xy2 + 10x2y Combine like terms: -5xy2 + 9xy2 = 4xy2 0 = 4xy2 + 10x2y Solving 0 = 4xy2 + 10x2y Solving for variable 'x'. Remove the zero: -4xy2 + -10x2y = 4xy2 + 10x2y + -4xy2 + -10x2y Reorder the terms: -4xy2 + -10x2y = 4xy2 + -4xy2 + 10x2y + -10x2y Combine like terms: 4xy2 + -4xy2 = 0 -4xy2 + -10x2y = 0 + 10x2y + -10x2y -4xy2 + -10x2y = 10x2y + -10x2y Combine like terms: 10x2y + -10x2y = 0 -4xy2 + -10x2y = 0 Factor out the Greatest Common Factor (GCF), '-2xy'. -2xy(2y + 5x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2y + 5x)' equal to zero and attempt to solve: Simplifying 2y + 5x = 0 Reorder the terms: 5x + 2y = 0 Solving 5x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 5x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 5x + 0 = 0 + -2y 5x = 0 + -2y Remove the zero: 5x = -2y Divide each side by '5'. x = -0.4y Simplifying x = -0.4ySolution
x = {-0.4y}
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