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Simplifying (16x2y2 + 72xy + 81) = 0 Reorder the terms: (81 + 72xy + 16x2y2) = 0 Remove parenthesis around (81 + 72xy + 16x2y2) 81 + 72xy + 16x2y2 = 0 Solving 81 + 72xy + 16x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 4xy)(9 + 4xy) = 0Subproblem 1
Set the factor '(9 + 4xy)' equal to zero and attempt to solve: Simplifying 9 + 4xy = 0 Solving 9 + 4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4xy = 0 + -9 4xy = 0 + -9 Combine like terms: 0 + -9 = -9 4xy = -9 Divide each side by '4y'. x = -2.25y-1 Simplifying x = -2.25y-1Subproblem 2
Set the factor '(9 + 4xy)' equal to zero and attempt to solve: Simplifying 9 + 4xy = 0 Solving 9 + 4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4xy = 0 + -9 4xy = 0 + -9 Combine like terms: 0 + -9 = -9 4xy = -9 Divide each side by '4y'. x = -2.25y-1 Simplifying x = -2.25y-1Solution
x = {-2.25y-1, -2.25y-1}
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