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Simplifying (3x2 + -2xy + 3y2) = (4xy) Reorder the terms: (-2xy + 3x2 + 3y2) = (4xy) Remove parenthesis around (-2xy + 3x2 + 3y2) -2xy + 3x2 + 3y2 = (4xy) Solving -2xy + 3x2 + 3y2 = (4xy) Solving for variable 'x'. Reorder the terms: -2xy + (-4xy) + 3x2 + 3y2 = (4xy) + (-4xy) Combine like terms: -2xy + (-4xy) = -6xy -6xy + 3x2 + 3y2 = (4xy) + (-4xy) Combine like terms: (4xy) + (-4xy) = 0 -6xy + 3x2 + 3y2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-2xy + x2 + y2) = 0 Factor a trinomial. 3((x + -1y)(x + -1y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySubproblem 2
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySolution
x = {y, y}
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