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Simplifying x + 31x2y = 32xy3 + 28xy3 + -17x2y + x Reorder the terms: x + 31x2y = x + 32xy3 + 28xy3 + -17x2y Combine like terms: 32xy3 + 28xy3 = 60xy3 x + 31x2y = x + 60xy3 + -17x2y Add '-1x' to each side of the equation. x + -1x + 31x2y = x + 60xy3 + -1x + -17x2y Combine like terms: x + -1x = 0 0 + 31x2y = x + 60xy3 + -1x + -17x2y 31x2y = x + 60xy3 + -1x + -17x2y Reorder the terms: 31x2y = x + -1x + 60xy3 + -17x2y Combine like terms: x + -1x = 0 31x2y = 0 + 60xy3 + -17x2y 31x2y = 60xy3 + -17x2y Solving 31x2y = 60xy3 + -17x2y Solving for variable 'x'. Reorder the terms: -60xy3 + 31x2y + 17x2y = 60xy3 + -17x2y + -60xy3 + 17x2y Combine like terms: 31x2y + 17x2y = 48x2y -60xy3 + 48x2y = 60xy3 + -17x2y + -60xy3 + 17x2y Reorder the terms: -60xy3 + 48x2y = 60xy3 + -60xy3 + -17x2y + 17x2y Combine like terms: 60xy3 + -60xy3 = 0 -60xy3 + 48x2y = 0 + -17x2y + 17x2y -60xy3 + 48x2y = -17x2y + 17x2y Combine like terms: -17x2y + 17x2y = 0 -60xy3 + 48x2y = 0 Factor out the Greatest Common Factor (GCF), '12xy'. 12xy(-5y2 + 4x) = 0 Ignore the factor 12.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 '(-5y2 + 4x)' equal to zero and attempt to solve: Simplifying -5y2 + 4x = 0 Reorder the terms: 4x + -5y2 = 0 Solving 4x + -5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5y2' to each side of the equation. 4x + -5y2 + 5y2 = 0 + 5y2 Combine like terms: -5y2 + 5y2 = 0 4x + 0 = 0 + 5y2 4x = 0 + 5y2 Remove the zero: 4x = 5y2 Divide each side by '4'. x = 1.25y2 Simplifying x = 1.25y2Solution
x = {1.25y2}
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