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Simplifying x4y4 + -2x2y2 + -99 = 0 Reorder the terms: -99 + -2x2y2 + x4y4 = 0 Solving -99 + -2x2y2 + x4y4 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x2y2)(11 + -1x2y2) = 0Subproblem 1
Set the factor '(-9 + -1x2y2)' equal to zero and attempt to solve: Simplifying -9 + -1x2y2 = 0 Solving -9 + -1x2y2 = 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 + -1x2y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x2y2 = 0 + 9 -1x2y2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1x2y2 = 9 Divide each side by '-1y2'. x2 = -9y-2 Simplifying x2 = -9y-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(11 + -1x2y2)' equal to zero and attempt to solve: Simplifying 11 + -1x2y2 = 0 Solving 11 + -1x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x2y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x2y2 = 0 + -11 -1x2y2 = 0 + -11 Combine like terms: 0 + -11 = -11 -1x2y2 = -11 Divide each side by '-1y2'. x2 = 11y-2 Simplifying x2 = 11y-2 Take the square root of each side: x = {-3.31662479y-1, 3.31662479y-1}Solution
x = {-3.31662479y-1, 3.31662479y-1}
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