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Simplifying (x7y2 + 3y) * dx + (3x8y + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(x7y2 + 3y) + (3x8y + -1x) * dy = 0 (x7y2 * dx + 3y * dx) + (3x8y + -1x) * dy = 0 Reorder the terms: (3dxy + dx8y2) + (3x8y + -1x) * dy = 0 (3dxy + dx8y2) + (3x8y + -1x) * dy = 0 Reorder the terms: 3dxy + dx8y2 + (-1x + 3x8y) * dy = 0 Reorder the terms for easier multiplication: 3dxy + dx8y2 + dy(-1x + 3x8y) = 0 3dxy + dx8y2 + (-1x * dy + 3x8y * dy) = 0 3dxy + dx8y2 + (-1dxy + 3dx8y2) = 0 Reorder the terms: 3dxy + -1dxy + dx8y2 + 3dx8y2 = 0 Combine like terms: 3dxy + -1dxy = 2dxy 2dxy + dx8y2 + 3dx8y2 = 0 Combine like terms: dx8y2 + 3dx8y2 = 4dx8y2 2dxy + 4dx8y2 = 0 Solving 2dxy + 4dx8y2 = 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), '2dxy'. 2dxy(1 + 2x7y) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(1 + 2x7y)' equal to zero and attempt to solve: Simplifying 1 + 2x7y = 0 Solving 1 + 2x7y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x7y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x7y = 0 + -1 2x7y = 0 + -1 Combine like terms: 0 + -1 = -1 2x7y = -1 Add '-2x7y' to each side of the equation. 2x7y + -2x7y = -1 + -2x7y Combine like terms: 2x7y + -2x7y = 0 0 = -1 + -2x7y Simplifying 0 = -1 + -2x7y 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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