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Simplifying 21x2y2 + -14xy2 = 7xy Reorder the terms: -14xy2 + 21x2y2 = 7xy Solving -14xy2 + 21x2y2 = 7xy Solving for variable 'x'. Reorder the terms: -7xy + -14xy2 + 21x2y2 = 7xy + -7xy Combine like terms: 7xy + -7xy = 0 -7xy + -14xy2 + 21x2y2 = 0 Factor out the Greatest Common Factor (GCF), '7xy'. 7xy(-1 + -2y + 3xy) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 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 '(-1 + -2y + 3xy)' equal to zero and attempt to solve: Simplifying -1 + -2y + 3xy = 0 Reorder the terms: -1 + 3xy + -2y = 0 Solving -1 + 3xy + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3xy + 1 + -2y = 0 + 1 Reorder the terms: -1 + 1 + 3xy + -2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3xy + -2y = 0 + 1 3xy + -2y = 0 + 1 Combine like terms: 0 + 1 = 1 3xy + -2y = 1 Add '2y' to each side of the equation. 3xy + -2y + 2y = 1 + 2y Combine like terms: -2y + 2y = 0 3xy + 0 = 1 + 2y 3xy = 1 + 2y Divide each side by '3y'. x = 0.3333333333y-1 + 0.6666666667 Simplifying x = 0.3333333333y-1 + 0.6666666667 Reorder the terms: x = 0.6666666667 + 0.3333333333y-1Solution
x = {0.6666666667 + 0.3333333333y-1}
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