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Simplifying 18x3y2 + -6y3 = 1 Solving 18x3y2 + -6y3 = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y3' to each side of the equation. 18x3y2 + -6y3 + 6y3 = 1 + 6y3 Combine like terms: -6y3 + 6y3 = 0 18x3y2 + 0 = 1 + 6y3 18x3y2 = 1 + 6y3 Divide each side by '18y2'. x3 = 0.05555555556y-2 + 0.3333333333y Simplifying x3 = 0.05555555556y-2 + 0.3333333333y Reorder the terms: x3 + -0.05555555556y-2 + -0.3333333333y = 0.05555555556y-2 + -0.05555555556y-2 + 0.3333333333y + -0.3333333333y Combine like terms: 0.05555555556y-2 + -0.05555555556y-2 = 0.00000000000 x3 + -0.05555555556y-2 + -0.3333333333y = 0.00000000000 + 0.3333333333y + -0.3333333333y x3 + -0.05555555556y-2 + -0.3333333333y = 0.3333333333y + -0.3333333333y Combine like terms: 0.3333333333y + -0.3333333333y = 0.0000000000 x3 + -0.05555555556y-2 + -0.3333333333y = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'y-2'. y-2(x3y2 + -0.05555555556 + -0.3333333333y3) = 0.0000000000Subproblem 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 '(x3y2 + -0.05555555556 + -0.3333333333y3)' equal to zero and attempt to solve: Simplifying x3y2 + -0.05555555556 + -0.3333333333y3 = 0 Reorder the terms: -0.05555555556 + x3y2 + -0.3333333333y3 = 0 Solving -0.05555555556 + x3y2 + -0.3333333333y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.05555555556' to each side of the equation. -0.05555555556 + x3y2 + 0.05555555556 + -0.3333333333y3 = 0 + 0.05555555556 Reorder the terms: -0.05555555556 + 0.05555555556 + x3y2 + -0.3333333333y3 = 0 + 0.05555555556 Combine like terms: -0.05555555556 + 0.05555555556 = 0.00000000000 0.00000000000 + x3y2 + -0.3333333333y3 = 0 + 0.05555555556 x3y2 + -0.3333333333y3 = 0 + 0.05555555556 Combine like terms: 0 + 0.05555555556 = 0.05555555556 x3y2 + -0.3333333333y3 = 0.05555555556 Add '0.3333333333y3' to each side of the equation. x3y2 + -0.3333333333y3 + 0.3333333333y3 = 0.05555555556 + 0.3333333333y3 Combine like terms: -0.3333333333y3 + 0.3333333333y3 = 0.0000000000 x3y2 + 0.0000000000 = 0.05555555556 + 0.3333333333y3 x3y2 = 0.05555555556 + 0.3333333333y3 Divide each side by 'y2'. x3 = 0.05555555556y-2 + 0.3333333333y Simplifying x3 = 0.05555555556y-2 + 0.3333333333y 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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