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Simplifying (X2 + -1y2) * dy = xy * dx Reorder the terms for easier multiplication: dy(X2 + -1y2) = xy * dx (X2 * dy + -1y2 * dy) = xy * dx (dyX2 + -1dy3) = xy * dx Multiply xy * dx dyX2 + -1dy3 = dx2y Solving dyX2 + -1dy3 = dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx2y' to each side of the equation. dyX2 + -1dx2y + -1dy3 = dx2y + -1dx2y Reorder the terms: -1dx2y + dyX2 + -1dy3 = dx2y + -1dx2y Combine like terms: dx2y + -1dx2y = 0 -1dx2y + dyX2 + -1dy3 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x2 + X2 + -1y2) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 0 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 '(-1x2 + X2 + -1y2)' equal to zero and attempt to solve: Simplifying -1x2 + X2 + -1y2 = 0 Reorder the terms: X2 + -1x2 + -1y2 = 0 Solving X2 + -1x2 + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1X2' to each side of the equation. X2 + -1x2 + -1X2 + -1y2 = 0 + -1X2 Reorder the terms: X2 + -1X2 + -1x2 + -1y2 = 0 + -1X2 Combine like terms: X2 + -1X2 = 0 0 + -1x2 + -1y2 = 0 + -1X2 -1x2 + -1y2 = 0 + -1X2 Remove the zero: -1x2 + -1y2 = -1X2 Add 'x2' to each side of the equation. -1x2 + x2 + -1y2 = -1X2 + x2 Combine like terms: -1x2 + x2 = 0 0 + -1y2 = -1X2 + x2 -1y2 = -1X2 + x2 Add 'y2' to each side of the equation. -1y2 + y2 = -1X2 + x2 + y2 Combine like terms: -1y2 + y2 = 0 0 = -1X2 + x2 + y2 Simplifying 0 = -1X2 + x2 + 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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