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Simplifying 3x2y + xy2 = 10xy Reorder the terms: xy2 + 3x2y = 10xy Solving xy2 + 3x2y = 10xy Solving for variable 'x'. Reorder the terms: -10xy + xy2 + 3x2y = 10xy + -10xy Combine like terms: 10xy + -10xy = 0 -10xy + xy2 + 3x2y = 0 Factor out the Greatest Common Factor (GCF), 'xy'. xy(-10 + y + 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 '(-10 + y + 3x)' equal to zero and attempt to solve: Simplifying -10 + y + 3x = 0 Reorder the terms: -10 + 3x + y = 0 Solving -10 + 3x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3x + 10 + y = 0 + 10 Reorder the terms: -10 + 10 + 3x + y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x + y = 0 + 10 3x + y = 0 + 10 Combine like terms: 0 + 10 = 10 3x + y = 10 Add '-1y' to each side of the equation. 3x + y + -1y = 10 + -1y Combine like terms: y + -1y = 0 3x + 0 = 10 + -1y 3x = 10 + -1y Divide each side by '3'. x = 3.333333333 + -0.3333333333y Simplifying x = 3.333333333 + -0.3333333333ySolution
x = {3.333333333 + -0.3333333333y}
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