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Simplifying (xy + -2)(xy + 4) = 0 Reorder the terms: (-2 + xy)(xy + 4) = 0 Reorder the terms: (-2 + xy)(4 + xy) = 0 Multiply (-2 + xy) * (4 + xy) (-2(4 + xy) + xy(4 + xy)) = 0 ((4 * -2 + xy * -2) + xy(4 + xy)) = 0 ((-8 + -2xy) + xy(4 + xy)) = 0 (-8 + -2xy + (4 * xy + xy * xy)) = 0 (-8 + -2xy + (4xy + x2y2)) = 0 Combine like terms: -2xy + 4xy = 2xy (-8 + 2xy + x2y2) = 0 Solving -8 + 2xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1xy)(2 + -1xy) = 0Subproblem 1
Set the factor '(-4 + -1xy)' equal to zero and attempt to solve: Simplifying -4 + -1xy = 0 Solving -4 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1xy = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1xy = 0 + 4 -1xy = 0 + 4 Combine like terms: 0 + 4 = 4 -1xy = 4 Divide each side by '-1y'. x = -4y-1 Simplifying x = -4y-1Subproblem 2
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-1Solution
x = {-4y-1, 2y-1}
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