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Simplifying x2y2 + -5xy + -36 = 0 Reorder the terms: -36 + -5xy + x2y2 = 0 Solving -36 + -5xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1xy)(9 + -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 '(9 + -1xy)' equal to zero and attempt to solve: Simplifying 9 + -1xy = 0 Solving 9 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1xy = 0 + -9 -1xy = 0 + -9 Combine like terms: 0 + -9 = -9 -1xy = -9 Divide each side by '-1y'. x = 9y-1 Simplifying x = 9y-1Solution
x = {-4y-1, 9y-1}
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