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Simplifying -8xy2 + -2x2y + 5x2y = 0 Combine like terms: -2x2y + 5x2y = 3x2y -8xy2 + 3x2y = 0 Solving -8xy2 + 3x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-8y + 3x) = 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 + 3x)' equal to zero and attempt to solve: Simplifying -8y + 3x = 0 Reorder the terms: 3x + -8y = 0 Solving 3x + -8y = 0 Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 3x + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 3x + 0 = 0 + 8y 3x = 0 + 8y Remove the zero: 3x = 8y Divide each side by '3'. x = 2.666666667y Simplifying x = 2.666666667ySolution
x = {2.666666667y}
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