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Simplifying x2y2 + -20xy + 100 = 0 Reorder the terms: 100 + -20xy + x2y2 = 0 Solving 100 + -20xy + x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -1xy)(10 + -1xy) = 0Subproblem 1
Set the factor '(10 + -1xy)' equal to zero and attempt to solve: Simplifying 10 + -1xy = 0 Solving 10 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1xy = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1xy = 0 + -10 -1xy = 0 + -10 Combine like terms: 0 + -10 = -10 -1xy = -10 Divide each side by '-1y'. x = 10y-1 Simplifying x = 10y-1Subproblem 2
Set the factor '(10 + -1xy)' equal to zero and attempt to solve: Simplifying 10 + -1xy = 0 Solving 10 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1xy = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1xy = 0 + -10 -1xy = 0 + -10 Combine like terms: 0 + -10 = -10 -1xy = -10 Divide each side by '-1y'. x = 10y-1 Simplifying x = 10y-1Solution
x = {10y-1, 10y-1}
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