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Simplifying y2dx + (5xy + -4) * dy = 0 Reorder the terms: dxy2 + (-4 + 5xy) * dy = 0 Reorder the terms for easier multiplication: dxy2 + dy(-4 + 5xy) = 0 dxy2 + (-4 * dy + 5xy * dy) = 0 Reorder the terms: dxy2 + (5dxy2 + -4dy) = 0 dxy2 + (5dxy2 + -4dy) = 0 Combine like terms: dxy2 + 5dxy2 = 6dxy2 6dxy2 + -4dy = 0 Solving 6dxy2 + -4dy = 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), '2dy'. 2dy(3xy + -2) = 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 '(3xy + -2)' equal to zero and attempt to solve: Simplifying 3xy + -2 = 0 Reorder the terms: -2 + 3xy = 0 Solving -2 + 3xy = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3xy = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3xy = 0 + 2 3xy = 0 + 2 Combine like terms: 0 + 2 = 2 3xy = 2 Add '-3xy' to each side of the equation. 3xy + -3xy = 2 + -3xy Combine like terms: 3xy + -3xy = 0 0 = 2 + -3xy Simplifying 0 = 2 + -3xy 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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