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Simplifying 10x2y + 8xy2 + -5x2y = 0 Reorder the terms: 8xy2 + 10x2y + -5x2y = 0 Combine like terms: 10x2y + -5x2y = 5x2y 8xy2 + 5x2y = 0 Solving 8xy2 + 5x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(8y + 5x) = 0Subproblem 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 '(8y + 5x)' equal to zero and attempt to solve: Simplifying 8y + 5x = 0 Reorder the terms: 5x + 8y = 0 Solving 5x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 5x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 5x + 0 = 0 + -8y 5x = 0 + -8y Remove the zero: 5x = -8y Divide each side by '5'. x = -1.6y Simplifying x = -1.6ySolution
x = {-1.6y}
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