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Simplifying x2y2 + -4xy = 12 Reorder the terms: -4xy + x2y2 = 12 Solving -4xy + x2y2 = 12 Solving for variable 'x'. Reorder the terms: -12 + -4xy + x2y2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -4xy + x2y2 = 0 Factor a trinomial. (-2 + -1xy)(6 + -1xy) = 0Subproblem 1
Set the factor '(-2 + -1xy)' equal to zero and attempt to solve: Simplifying -2 + -1xy = 0 Solving -2 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1xy = 0 + 2 -1xy = 0 + 2 Combine like terms: 0 + 2 = 2 -1xy = 2 Divide each side by '-1y'. x = -2y-1 Simplifying x = -2y-1Subproblem 2
Set the factor '(6 + -1xy)' equal to zero and attempt to solve: Simplifying 6 + -1xy = 0 Solving 6 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1xy = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1xy = 0 + -6 -1xy = 0 + -6 Combine like terms: 0 + -6 = -6 -1xy = -6 Divide each side by '-1y'. x = 6y-1 Simplifying x = 6y-1Solution
x = {-2y-1, 6y-1}
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