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Simplifying x2y2 + -8xy + 16 = 0 Reorder the terms: 16 + -8xy + x2y2 = 0 Solving 16 + -8xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1xy)(4 + -1xy) = 0Subproblem 1
Set the factor '(4 + -1xy)' equal to zero and attempt to solve: Simplifying 4 + -1xy = 0 Solving 4 + -1xy = 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 + -1xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1xy = 0 + -4 -1xy = 0 + -4 Combine like terms: 0 + -4 = -4 -1xy = -4 Divide each side by '-1y'. x = 4y-1 Simplifying x = 4y-1Subproblem 2
Set the factor '(4 + -1xy)' equal to zero and attempt to solve: Simplifying 4 + -1xy = 0 Solving 4 + -1xy = 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 + -1xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1xy = 0 + -4 -1xy = 0 + -4 Combine like terms: 0 + -4 = -4 -1xy = -4 Divide each side by '-1y'. x = 4y-1 Simplifying x = 4y-1Solution
x = {4y-1, 4y-1}
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