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Simplifying 9x2y2 + 30xy + 25 = 0 Reorder the terms: 25 + 30xy + 9x2y2 = 0 Solving 25 + 30xy + 9x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 3xy)(5 + 3xy) = 0Subproblem 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 '(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-1Solution
x = {-1.666666667y-1, -1.666666667y-1}
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