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Simplifying xdy + -1(5x + 2y) * dx = 0 Reorder the terms for easier multiplication: dxy + -1dx(5x + 2y) = 0 dxy + (5x * -1dx + 2y * -1dx) = 0 Reorder the terms: dxy + (-2dxy + -5dx2) = 0 dxy + (-2dxy + -5dx2) = 0 Combine like terms: dxy + -2dxy = -1dxy -1dxy + -5dx2 = 0 Solving -1dxy + -5dx2 = 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), '-1dx'. -1dx(y + 5x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(y + 5x)' equal to zero and attempt to solve: Simplifying y + 5x = 0 Reorder the terms: 5x + y = 0 Solving 5x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + -5x + y = 0 + -5x Combine like terms: 5x + -5x = 0 0 + y = 0 + -5x y = 0 + -5x Remove the zero: y = -5x Add '-1y' to each side of the equation. y + -1y = -5x + -1y Combine like terms: y + -1y = 0 0 = -5x + -1y Simplifying 0 = -5x + -1y 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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