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Simplifying Xydx + (2x2 + 3y2 + -20) * dy = 0 Reorder the terms: dxyX + (-20 + 2x2 + 3y2) * dy = 0 Reorder the terms for easier multiplication: dxyX + dy(-20 + 2x2 + 3y2) = 0 dxyX + (-20 * dy + 2x2 * dy + 3y2 * dy) = 0 Reorder the terms: dxyX + (2dx2y + -20dy + 3dy3) = 0 dxyX + (2dx2y + -20dy + 3dy3) = 0 Solving dxyX + 2dx2y + -20dy + 3dy3 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dy'. dy(xX + 2x2 + -20 + 3y2) = 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 '(xX + 2x2 + -20 + 3y2)' equal to zero and attempt to solve: Simplifying xX + 2x2 + -20 + 3y2 = 0 Reorder the terms: -20 + xX + 2x2 + 3y2 = 0 Solving -20 + xX + 2x2 + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '20' to each side of the equation. -20 + xX + 2x2 + 20 + 3y2 = 0 + 20 Reorder the terms: -20 + 20 + xX + 2x2 + 3y2 = 0 + 20 Combine like terms: -20 + 20 = 0 0 + xX + 2x2 + 3y2 = 0 + 20 xX + 2x2 + 3y2 = 0 + 20 Combine like terms: 0 + 20 = 20 xX + 2x2 + 3y2 = 20 Add '-1xX' to each side of the equation. xX + 2x2 + -1xX + 3y2 = 20 + -1xX Reorder the terms: xX + -1xX + 2x2 + 3y2 = 20 + -1xX Combine like terms: xX + -1xX = 0 0 + 2x2 + 3y2 = 20 + -1xX 2x2 + 3y2 = 20 + -1xX Add '-2x2' to each side of the equation. 2x2 + -2x2 + 3y2 = 20 + -1xX + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + 3y2 = 20 + -1xX + -2x2 3y2 = 20 + -1xX + -2x2 Add '-3y2' to each side of the equation. 3y2 + -3y2 = 20 + -1xX + -2x2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = 20 + -1xX + -2x2 + -3y2 Simplifying 0 = 20 + -1xX + -2x2 + -3y2 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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