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Simplifying 6x2y2 + -22xy + 20 = 0 Reorder the terms: 20 + -22xy + 6x2y2 = 0 Solving 20 + -22xy + 6x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -11xy + 3x2y2) = 0 Factor a trinomial. 2((5 + -3xy)(2 + -1xy)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -3xy)' equal to zero and attempt to solve: Simplifying 5 + -3xy = 0 Solving 5 + -3xy = 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 + -3xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3xy = 0 + -5 -3xy = 0 + -5 Combine like terms: 0 + -5 = -5 -3xy = -5 Divide each side by '-3y'. x = 1.666666667y-1 Simplifying x = 1.666666667y-1Subproblem 2
Set the factor '(2 + -1xy)' equal to zero and attempt to solve: Simplifying 2 + -1xy = 0 Solving 2 + -1xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1xy = 0 + -2 -1xy = 0 + -2 Combine like terms: 0 + -2 = -2 -1xy = -2 Divide each side by '-1y'. x = 2y-1 Simplifying x = 2y-1Solution
x = {1.666666667y-1, 2y-1}
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