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Simplifying -2yx2 + y2 = 25 Solving -2x2y + y2 = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y2' to each side of the equation. -2x2y + y2 + -1y2 = 25 + -1y2 Combine like terms: y2 + -1y2 = 0 -2x2y + 0 = 25 + -1y2 -2x2y = 25 + -1y2 Divide each side by '-2y'. x2 = -12.5y-1 + 0.5y Simplifying x2 = -12.5y-1 + 0.5y Reorder the terms: x2 + 12.5y-1 + -0.5y = -12.5y-1 + 12.5y-1 + 0.5y + -0.5y Combine like terms: -12.5y-1 + 12.5y-1 = 0.0 x2 + 12.5y-1 + -0.5y = 0.0 + 0.5y + -0.5y x2 + 12.5y-1 + -0.5y = 0.5y + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 x2 + 12.5y-1 + -0.5y = 0.0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x2y + 12.5 + -0.5y2) = 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 + 12.5 + -0.5y2)' equal to zero and attempt to solve: Simplifying x2y + 12.5 + -0.5y2 = 0 Reorder the terms: 12.5 + x2y + -0.5y2 = 0 Solving 12.5 + x2y + -0.5y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + x2y + -12.5 + -0.5y2 = 0 + -12.5 Reorder the terms: 12.5 + -12.5 + x2y + -0.5y2 = 0 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + x2y + -0.5y2 = 0 + -12.5 x2y + -0.5y2 = 0 + -12.5 Combine like terms: 0 + -12.5 = -12.5 x2y + -0.5y2 = -12.5 Add '0.5y2' to each side of the equation. x2y + -0.5y2 + 0.5y2 = -12.5 + 0.5y2 Combine like terms: -0.5y2 + 0.5y2 = 0.0 x2y + 0.0 = -12.5 + 0.5y2 x2y = -12.5 + 0.5y2 Divide each side by 'y'. x2 = -12.5y-1 + 0.5y Simplifying x2 = -12.5y-1 + 0.5y 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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