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Simplifying (5xy + 3)(5xy + -4) = 0 Reorder the terms: (3 + 5xy)(5xy + -4) = 0 Reorder the terms: (3 + 5xy)(-4 + 5xy) = 0 Multiply (3 + 5xy) * (-4 + 5xy) (3(-4 + 5xy) + 5xy * (-4 + 5xy)) = 0 ((-4 * 3 + 5xy * 3) + 5xy * (-4 + 5xy)) = 0 ((-12 + 15xy) + 5xy * (-4 + 5xy)) = 0 (-12 + 15xy + (-4 * 5xy + 5xy * 5xy)) = 0 (-12 + 15xy + (-20xy + 25x2y2)) = 0 Combine like terms: 15xy + -20xy = -5xy (-12 + -5xy + 25x2y2) = 0 Solving -12 + -5xy + 25x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5xy)(4 + -5xy) = 0Subproblem 1
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-1Subproblem 2
Set the factor '(4 + -5xy)' equal to zero and attempt to solve: Simplifying 4 + -5xy = 0 Solving 4 + -5xy = 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 + -5xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5xy = 0 + -4 -5xy = 0 + -4 Combine like terms: 0 + -4 = -4 -5xy = -4 Divide each side by '-5y'. x = 0.8y-1 Simplifying x = 0.8y-1Solution
x = {-0.6y-1, 0.8y-1}
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