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Simplifying 3(3xy + 5)(3xy + -1) = 0 Reorder the terms: 3(5 + 3xy)(3xy + -1) = 0 Reorder the terms: 3(5 + 3xy)(-1 + 3xy) = 0 Multiply (5 + 3xy) * (-1 + 3xy) 3(5(-1 + 3xy) + 3xy * (-1 + 3xy)) = 0 3((-1 * 5 + 3xy * 5) + 3xy * (-1 + 3xy)) = 0 3((-5 + 15xy) + 3xy * (-1 + 3xy)) = 0 3(-5 + 15xy + (-1 * 3xy + 3xy * 3xy)) = 0 3(-5 + 15xy + (-3xy + 9x2y2)) = 0 Combine like terms: 15xy + -3xy = 12xy 3(-5 + 12xy + 9x2y2) = 0 (-5 * 3 + 12xy * 3 + 9x2y2 * 3) = 0 (-15 + 36xy + 27x2y2) = 0 Solving -15 + 36xy + 27x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 12xy + 9x2y2) = 0 Factor a trinomial. 3((-5 + -3xy)(1 + -3xy)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -3xy)' equal to zero and attempt to solve: Simplifying -5 + -3xy = 0 Solving -5 + -3xy = 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 + -3xy = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3xy = 0 + 5 -3xy = 0 + 5 Combine like terms: 0 + 5 = 5 -3xy = 5 Divide each side by '-3y'. x = -1.666666667y-1 Simplifying x = -1.666666667y-1Subproblem 2
Set the factor '(1 + -3xy)' equal to zero and attempt to solve: Simplifying 1 + -3xy = 0 Solving 1 + -3xy = 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 + -3xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3xy = 0 + -1 -3xy = 0 + -1 Combine like terms: 0 + -1 = -1 -3xy = -1 Divide each side by '-3y'. x = 0.3333333333y-1 Simplifying x = 0.3333333333y-1Solution
x = {-1.666666667y-1, 0.3333333333y-1}
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