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Simplifying 21x2y2 + 11xy + -2 = 0 Reorder the terms: -2 + 11xy + 21x2y2 = 0 Solving -2 + 11xy + 21x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3xy)(1 + -7xy) = 0Subproblem 1
Set the factor '(-2 + -3xy)' equal to zero and attempt to solve: Simplifying -2 + -3xy = 0 Solving -2 + -3xy = 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 + -3xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3xy = 0 + 2 -3xy = 0 + 2 Combine like terms: 0 + 2 = 2 -3xy = 2 Divide each side by '-3y'. x = -0.6666666667y-1 Simplifying x = -0.6666666667y-1Subproblem 2
Set the factor '(1 + -7xy)' equal to zero and attempt to solve: Simplifying 1 + -7xy = 0 Solving 1 + -7xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7xy = 0 + -1 -7xy = 0 + -1 Combine like terms: 0 + -1 = -1 -7xy = -1 Divide each side by '-7y'. x = 0.1428571429y-1 Simplifying x = 0.1428571429y-1Solution
x = {-0.6666666667y-1, 0.1428571429y-1}
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