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Simplifying x2y + -1y3 = 105 Solving x2y + -1y3 = 105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y3' to each side of the equation. x2y + -1y3 + y3 = 105 + y3 Combine like terms: -1y3 + y3 = 0 x2y + 0 = 105 + y3 x2y = 105 + y3 Divide each side by 'y'. x2 = 105y-1 + y2 Simplifying x2 = 105y-1 + y2 Reorder the terms: x2 + -105y-1 + -1y2 = 105y-1 + -105y-1 + y2 + -1y2 Combine like terms: 105y-1 + -105y-1 = 0 x2 + -105y-1 + -1y2 = 0 + y2 + -1y2 x2 + -105y-1 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + -105y-1 + -1y2 = 0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + -105 + -1y3) = 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 + -105 + -1y3)' equal to zero and attempt to solve: Simplifying x2y + -105 + -1y3 = 0 Reorder the terms: -105 + x2y + -1y3 = 0 Solving -105 + x2y + -1y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '105' to each side of the equation. -105 + x2y + 105 + -1y3 = 0 + 105 Reorder the terms: -105 + 105 + x2y + -1y3 = 0 + 105 Combine like terms: -105 + 105 = 0 0 + x2y + -1y3 = 0 + 105 x2y + -1y3 = 0 + 105 Combine like terms: 0 + 105 = 105 x2y + -1y3 = 105 Add 'y3' to each side of the equation. x2y + -1y3 + y3 = 105 + y3 Combine like terms: -1y3 + y3 = 0 x2y + 0 = 105 + y3 x2y = 105 + y3 Divide each side by 'y'. x2 = 105y-1 + y2 Simplifying x2 = 105y-1 + y2 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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