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Simplifying 6xy3 + 13x2y2 + -21xy = 0 Reorder the terms: -21xy + 6xy3 + 13x2y2 = 0 Solving -21xy + 6xy3 + 13x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-21 + 6y2 + 13xy) = 0Subproblem 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 '(-21 + 6y2 + 13xy)' equal to zero and attempt to solve: Simplifying -21 + 6y2 + 13xy = 0 Reorder the terms: -21 + 13xy + 6y2 = 0 Solving -21 + 13xy + 6y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 13xy + 21 + 6y2 = 0 + 21 Reorder the terms: -21 + 21 + 13xy + 6y2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 13xy + 6y2 = 0 + 21 13xy + 6y2 = 0 + 21 Combine like terms: 0 + 21 = 21 13xy + 6y2 = 21 Add '-6y2' to each side of the equation. 13xy + 6y2 + -6y2 = 21 + -6y2 Combine like terms: 6y2 + -6y2 = 0 13xy + 0 = 21 + -6y2 13xy = 21 + -6y2 Divide each side by '13y'. x = 1.615384615y-1 + -0.4615384615y Simplifying x = 1.615384615y-1 + -0.4615384615ySolution
x = {1.615384615y-1 + -0.4615384615y}
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