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Simplifying 21x3y + 3xy3 + -6xy = 0 Reorder the terms: -6xy + 3xy3 + 21x3y = 0 Solving -6xy + 3xy3 + 21x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3xy'. 3xy(-2 + y2 + 7x2) = 0 Ignore the factor 3.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 '(-2 + y2 + 7x2)' equal to zero and attempt to solve: Simplifying -2 + y2 + 7x2 = 0 Reorder the terms: -2 + 7x2 + y2 = 0 Solving -2 + 7x2 + y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7x2 + 2 + y2 = 0 + 2 Reorder the terms: -2 + 2 + 7x2 + y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x2 + y2 = 0 + 2 7x2 + y2 = 0 + 2 Combine like terms: 0 + 2 = 2 7x2 + y2 = 2 Add '-1y2' to each side of the equation. 7x2 + y2 + -1y2 = 2 + -1y2 Combine like terms: y2 + -1y2 = 0 7x2 + 0 = 2 + -1y2 7x2 = 2 + -1y2 Divide each side by '7'. x2 = 0.2857142857 + -0.1428571429y2 Simplifying x2 = 0.2857142857 + -0.1428571429y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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