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Simplifying x2y2 = 2y3 + -12 Reorder the terms: x2y2 = -12 + 2y3 Solving x2y2 = -12 + 2y3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by 'y2'. x2 = -12y-2 + 2y Simplifying x2 = -12y-2 + 2y Reorder the terms: x2 + 12y-2 + -2y = -12y-2 + 12y-2 + 2y + -2y Combine like terms: -12y-2 + 12y-2 = 0 x2 + 12y-2 + -2y = 0 + 2y + -2y x2 + 12y-2 + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 x2 + 12y-2 + -2y = 0 Factor out the Greatest Common Factor (GCF), 'y-2'. y-2(x2y2 + 12 + -2y3) = 0Subproblem 1
Set the factor 'y-2' equal to zero and attempt to solve: Simplifying y-2 = 0 Solving y-2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-2' to each side of the equation. y-2 + -1y-2 = 0 + -1y-2 Remove the zero: 0 = -1y-2 Simplifying 0 = -1y-2 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 '(x2y2 + 12 + -2y3)' equal to zero and attempt to solve: Simplifying x2y2 + 12 + -2y3 = 0 Reorder the terms: 12 + x2y2 + -2y3 = 0 Solving 12 + x2y2 + -2y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + x2y2 + -12 + -2y3 = 0 + -12 Reorder the terms: 12 + -12 + x2y2 + -2y3 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x2y2 + -2y3 = 0 + -12 x2y2 + -2y3 = 0 + -12 Combine like terms: 0 + -12 = -12 x2y2 + -2y3 = -12 Add '2y3' to each side of the equation. x2y2 + -2y3 + 2y3 = -12 + 2y3 Combine like terms: -2y3 + 2y3 = 0 x2y2 + 0 = -12 + 2y3 x2y2 = -12 + 2y3 Divide each side by 'y2'. x2 = -12y-2 + 2y Simplifying x2 = -12y-2 + 2y 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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