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Simplifying (2xy + 1)(5xy + -2) = 0 Reorder the terms: (1 + 2xy)(5xy + -2) = 0 Reorder the terms: (1 + 2xy)(-2 + 5xy) = 0 Multiply (1 + 2xy) * (-2 + 5xy) (1(-2 + 5xy) + 2xy * (-2 + 5xy)) = 0 ((-2 * 1 + 5xy * 1) + 2xy * (-2 + 5xy)) = 0 ((-2 + 5xy) + 2xy * (-2 + 5xy)) = 0 (-2 + 5xy + (-2 * 2xy + 5xy * 2xy)) = 0 (-2 + 5xy + (-4xy + 10x2y2)) = 0 Combine like terms: 5xy + -4xy = 1xy (-2 + 1xy + 10x2y2) = 0 Solving -2 + 1xy + 10x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -2xy)(2 + -5xy) = 0Subproblem 1
Set the factor '(-1 + -2xy)' equal to zero and attempt to solve: Simplifying -1 + -2xy = 0 Solving -1 + -2xy = 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 + -2xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2xy = 0 + 1 -2xy = 0 + 1 Combine like terms: 0 + 1 = 1 -2xy = 1 Divide each side by '-2y'. x = -0.5y-1 Simplifying x = -0.5y-1Subproblem 2
Set the factor '(2 + -5xy)' equal to zero and attempt to solve: Simplifying 2 + -5xy = 0 Solving 2 + -5xy = 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 + -5xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5xy = 0 + -2 -5xy = 0 + -2 Combine like terms: 0 + -2 = -2 -5xy = -2 Divide each side by '-5y'. x = 0.4y-1 Simplifying x = 0.4y-1Solution
x = {-0.5y-1, 0.4y-1}
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