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Simplifying x24y2 + -1y + 32 = 0 Reorder the terms: 32 + x24y2 + -1y = 0 Solving 32 + x24y2 + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + x24y2 + -32 + -1y = 0 + -32 Reorder the terms: 32 + -32 + x24y2 + -1y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + x24y2 + -1y = 0 + -32 x24y2 + -1y = 0 + -32 Combine like terms: 0 + -32 = -32 x24y2 + -1y = -32 Add 'y' to each side of the equation. x24y2 + -1y + y = -32 + y Combine like terms: -1y + y = 0 x24y2 + 0 = -32 + y x24y2 = -32 + y Divide each side by 'y2'. x24 = -32y-2 + y-1 Simplifying x24 = -32y-2 + y-1 Reorder the terms: x24 + 32y-2 + -1y-1 = -32y-2 + 32y-2 + y-1 + -1y-1 Combine like terms: -32y-2 + 32y-2 = 0 x24 + 32y-2 + -1y-1 = 0 + y-1 + -1y-1 x24 + 32y-2 + -1y-1 = y-1 + -1y-1 Combine like terms: y-1 + -1y-1 = 0 x24 + 32y-2 + -1y-1 = 0 Factor out the Greatest Common Factor (GCF), 'y-2'. y-2(x24y2 + 32 + -1y) = 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 '(x24y2 + 32 + -1y)' equal to zero and attempt to solve: Simplifying x24y2 + 32 + -1y = 0 Reorder the terms: 32 + x24y2 + -1y = 0 Solving 32 + x24y2 + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + x24y2 + -32 + -1y = 0 + -32 Reorder the terms: 32 + -32 + x24y2 + -1y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + x24y2 + -1y = 0 + -32 x24y2 + -1y = 0 + -32 Combine like terms: 0 + -32 = -32 x24y2 + -1y = -32 Add 'y' to each side of the equation. x24y2 + -1y + y = -32 + y Combine like terms: -1y + y = 0 x24y2 + 0 = -32 + y x24y2 = -32 + y Divide each side by 'y2'. x24 = -32y-2 + y-1 Simplifying x24 = -32y-2 + y-1 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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