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Simplifying (5xy + -3)(2xy + 5) = 0 Reorder the terms: (-3 + 5xy)(2xy + 5) = 0 Reorder the terms: (-3 + 5xy)(5 + 2xy) = 0 Multiply (-3 + 5xy) * (5 + 2xy) (-3(5 + 2xy) + 5xy * (5 + 2xy)) = 0 ((5 * -3 + 2xy * -3) + 5xy * (5 + 2xy)) = 0 ((-15 + -6xy) + 5xy * (5 + 2xy)) = 0 (-15 + -6xy + (5 * 5xy + 2xy * 5xy)) = 0 (-15 + -6xy + (25xy + 10x2y2)) = 0 Combine like terms: -6xy + 25xy = 19xy (-15 + 19xy + 10x2y2) = 0 Solving -15 + 19xy + 10x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -2xy)(3 + -5xy) = 0Subproblem 1
Set the factor '(-5 + -2xy)' equal to zero and attempt to solve: Simplifying -5 + -2xy = 0 Solving -5 + -2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2xy = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2xy = 0 + 5 -2xy = 0 + 5 Combine like terms: 0 + 5 = 5 -2xy = 5 Divide each side by '-2y'. x = -2.5y-1 Simplifying x = -2.5y-1Subproblem 2
Set the factor '(3 + -5xy)' equal to zero and attempt to solve: Simplifying 3 + -5xy = 0 Solving 3 + -5xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5xy = 0 + -3 -5xy = 0 + -3 Combine like terms: 0 + -3 = -3 -5xy = -3 Divide each side by '-5y'. x = 0.6y-1 Simplifying x = 0.6y-1Solution
x = {-2.5y-1, 0.6y-1}
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