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Simplifying 1 + -1y3 + 2x2y = 0 Reorder the terms: 1 + 2x2y + -1y3 = 0 Solving 1 + 2x2y + -1y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2x2y + -1 + -1y3 = 0 + -1 Reorder the terms: 1 + -1 + 2x2y + -1y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2y + -1y3 = 0 + -1 2x2y + -1y3 = 0 + -1 Combine like terms: 0 + -1 = -1 2x2y + -1y3 = -1 Add 'y3' to each side of the equation. 2x2y + -1y3 + y3 = -1 + y3 Combine like terms: -1y3 + y3 = 0 2x2y + 0 = -1 + y3 2x2y = -1 + y3 Divide each side by '2y'. x2 = -0.5y-1 + 0.5y2 Simplifying x2 = -0.5y-1 + 0.5y2 Reorder the terms: x2 + 0.5y-1 + -0.5y2 = -0.5y-1 + 0.5y-1 + 0.5y2 + -0.5y2 Combine like terms: -0.5y-1 + 0.5y-1 = 0.0 x2 + 0.5y-1 + -0.5y2 = 0.0 + 0.5y2 + -0.5y2 x2 + 0.5y-1 + -0.5y2 = 0.5y2 + -0.5y2 Combine like terms: 0.5y2 + -0.5y2 = 0.0 x2 + 0.5y-1 + -0.5y2 = 0.0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + 0.5 + -0.5y3) = 0.0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + 0.5 + -0.5y3)' equal to zero and attempt to solve: Simplifying x2y + 0.5 + -0.5y3 = 0 Reorder the terms: 0.5 + x2y + -0.5y3 = 0 Solving 0.5 + x2y + -0.5y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + x2y + -0.5 + -0.5y3 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + x2y + -0.5y3 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x2y + -0.5y3 = 0 + -0.5 x2y + -0.5y3 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 x2y + -0.5y3 = -0.5 Add '0.5y3' to each side of the equation. x2y + -0.5y3 + 0.5y3 = -0.5 + 0.5y3 Combine like terms: -0.5y3 + 0.5y3 = 0.0 x2y + 0.0 = -0.5 + 0.5y3 x2y = -0.5 + 0.5y3 Divide each side by 'y'. x2 = -0.5y-1 + 0.5y2 Simplifying x2 = -0.5y-1 + 0.5y2 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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