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Simplifying (x2) * y + (y2) * x = max Multiply x2 * y x2y + (y2) * x = max Multiply y2 * x x2y + xy2 = max Reorder the terms: xy2 + x2y = max Solving xy2 + x2y = amx Solving for variable 'x'. Reorder the terms: -1amx + xy2 + x2y = amx + -1amx Combine like terms: amx + -1amx = 0 -1amx + xy2 + x2y = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1am + y2 + xy) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1am + y2 + xy)' equal to zero and attempt to solve: Simplifying -1am + y2 + xy = 0 Reorder the terms: -1am + xy + y2 = 0 Solving -1am + xy + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'am' to each side of the equation. -1am + xy + am + y2 = 0 + am Reorder the terms: -1am + am + xy + y2 = 0 + am Combine like terms: -1am + am = 0 0 + xy + y2 = 0 + am xy + y2 = 0 + am Remove the zero: xy + y2 = am Add '-1y2' to each side of the equation. xy + y2 + -1y2 = am + -1y2 Combine like terms: y2 + -1y2 = 0 xy + 0 = am + -1y2 xy = am + -1y2 Divide each side by 'y'. x = amy-1 + -1y Simplifying x = amy-1 + -1ySolution
x = {0, amy-1 + -1y}
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