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Simplifying (2x + -3y) * dx + -1(3x + 2y) * dx = 0 Reorder the terms for easier multiplication: dx(2x + -3y) + -1(3x + 2y) * dx = 0 (2x * dx + -3y * dx) + -1(3x + 2y) * dx = 0 Reorder the terms: (-3dxy + 2dx2) + -1(3x + 2y) * dx = 0 (-3dxy + 2dx2) + -1(3x + 2y) * dx = 0 Reorder the terms for easier multiplication: -3dxy + 2dx2 + -1dx(3x + 2y) = 0 -3dxy + 2dx2 + (3x * -1dx + 2y * -1dx) = 0 Reorder the terms: -3dxy + 2dx2 + (-2dxy + -3dx2) = 0 -3dxy + 2dx2 + (-2dxy + -3dx2) = 0 Reorder the terms: -3dxy + -2dxy + 2dx2 + -3dx2 = 0 Combine like terms: -3dxy + -2dxy = -5dxy -5dxy + 2dx2 + -3dx2 = 0 Combine like terms: 2dx2 + -3dx2 = -1dx2 -5dxy + -1dx2 = 0 Solving -5dxy + -1dx2 = 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(5y + x) = 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 '(5y + x)' equal to zero and attempt to solve: Simplifying 5y + x = 0 Reorder the terms: x + 5y = 0 Solving x + 5y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + 5y = 0 + -1x Combine like terms: x + -1x = 0 0 + 5y = 0 + -1x 5y = 0 + -1x Remove the zero: 5y = -1x Add '-5y' to each side of the equation. 5y + -5y = -1x + -5y Combine like terms: 5y + -5y = 0 0 = -1x + -5y Simplifying 0 = -1x + -5y 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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