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Simplifying (5xy + -1)(2xy + 9) = 0 Reorder the terms: (-1 + 5xy)(2xy + 9) = 0 Reorder the terms: (-1 + 5xy)(9 + 2xy) = 0 Multiply (-1 + 5xy) * (9 + 2xy) (-1(9 + 2xy) + 5xy * (9 + 2xy)) = 0 ((9 * -1 + 2xy * -1) + 5xy * (9 + 2xy)) = 0 ((-9 + -2xy) + 5xy * (9 + 2xy)) = 0 (-9 + -2xy + (9 * 5xy + 2xy * 5xy)) = 0 (-9 + -2xy + (45xy + 10x2y2)) = 0 Combine like terms: -2xy + 45xy = 43xy (-9 + 43xy + 10x2y2) = 0 Solving -9 + 43xy + 10x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -2xy)(1 + -5xy) = 0Subproblem 1
Set the factor '(-9 + -2xy)' equal to zero and attempt to solve: Simplifying -9 + -2xy = 0 Solving -9 + -2xy = 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 + -2xy = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2xy = 0 + 9 -2xy = 0 + 9 Combine like terms: 0 + 9 = 9 -2xy = 9 Divide each side by '-2y'. x = -4.5y-1 Simplifying x = -4.5y-1Subproblem 2
Set the factor '(1 + -5xy)' equal to zero and attempt to solve: Simplifying 1 + -5xy = 0 Solving 1 + -5xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5xy = 0 + -1 -5xy = 0 + -1 Combine like terms: 0 + -1 = -1 -5xy = -1 Divide each side by '-5y'. x = 0.2y-1 Simplifying x = 0.2y-1Solution
x = {-4.5y-1, 0.2y-1}
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