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Simplifying 5(y + 3) * dx = -5xdy Reorder the terms: 5(3 + y) * dx = -5xdy Reorder the terms for easier multiplication: 5dx(3 + y) = -5xdy (3 * 5dx + y * 5dx) = -5xdy (15dx + 5dxy) = -5xdy Solving 15dx + 5dxy = -5dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5dxy' to each side of the equation. 15dx + 5dxy + 5dxy = -5dxy + 5dxy Combine like terms: 5dxy + 5dxy = 10dxy 15dx + 10dxy = -5dxy + 5dxy Combine like terms: -5dxy + 5dxy = 0 15dx + 10dxy = 0 Factor out the Greatest Common Factor (GCF), '5dx'. 5dx(3 + 2y) = 0 Ignore the factor 5.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 '(3 + 2y)' equal to zero and attempt to solve: Simplifying 3 + 2y = 0 Solving 3 + 2y = 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 + 2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 0 + -3 2y = 0 + -3 Combine like terms: 0 + -3 = -3 2y = -3 Add '-2y' to each side of the equation. 2y + -2y = -3 + -2y Combine like terms: 2y + -2y = 0 0 = -3 + -2y Simplifying 0 = -3 + -2y 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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