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Simplifying ydx = (x * 2 + -5x + 6) * dy Reorder the terms for easier multiplication: dxy = (2x + -5x + 6) * dy Reorder the terms: dxy = (6 + 2x + -5x) * dy Combine like terms: 2x + -5x = -3x dxy = (6 + -3x) * dy Reorder the terms for easier multiplication: dxy = dy(6 + -3x) dxy = (6 * dy + -3x * dy) Reorder the terms: dxy = (-3dxy + 6dy) dxy = (-3dxy + 6dy) Solving dxy = -3dxy + 6dy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3dxy' to each side of the equation. dxy + 3dxy = -3dxy + 3dxy + 6dy Combine like terms: dxy + 3dxy = 4dxy 4dxy = -3dxy + 3dxy + 6dy Combine like terms: -3dxy + 3dxy = 0 4dxy = 0 + 6dy 4dxy = 6dy Add '-6dy' to each side of the equation. 4dxy + -6dy = 6dy + -6dy Combine like terms: 6dy + -6dy = 0 4dxy + -6dy = 0 Factor out the Greatest Common Factor (GCF), '2dy'. 2dy(2x + -3) = 0 Ignore the factor 2.Subproblem 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 '(2x + -3)' equal to zero and attempt to solve: Simplifying 2x + -3 = 0 Reorder the terms: -3 + 2x = 0 Solving -3 + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Add '-2x' to each side of the equation. 2x + -2x = 3 + -2x Combine like terms: 2x + -2x = 0 0 = 3 + -2x Simplifying 0 = 3 + -2x 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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