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Simplifying 8x2y2 + 38xy + 35 = 0 Reorder the terms: 35 + 38xy + 8x2y2 = 0 Solving 35 + 38xy + 8x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 2xy)(5 + 4xy) = 0Subproblem 1
Set the factor '(7 + 2xy)' equal to zero and attempt to solve: Simplifying 7 + 2xy = 0 Solving 7 + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2xy = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2xy = 0 + -7 2xy = 0 + -7 Combine like terms: 0 + -7 = -7 2xy = -7 Divide each side by '2y'. x = -3.5y-1 Simplifying x = -3.5y-1Subproblem 2
Set the factor '(5 + 4xy)' equal to zero and attempt to solve: Simplifying 5 + 4xy = 0 Solving 5 + 4xy = 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 + 4xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4xy = 0 + -5 4xy = 0 + -5 Combine like terms: 0 + -5 = -5 4xy = -5 Divide each side by '4y'. x = -1.25y-1 Simplifying x = -1.25y-1Solution
x = {-3.5y-1, -1.25y-1}
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