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Simplifying (7x4y + -3y8) * dx + (2x5 + -9xy7) * dy = 0 Reorder the terms for easier multiplication: dx(7x4y + -3y8) + (2x5 + -9xy7) * dy = 0 (7x4y * dx + -3y8 * dx) + (2x5 + -9xy7) * dy = 0 Reorder the terms: (-3dxy8 + 7dx5y) + (2x5 + -9xy7) * dy = 0 (-3dxy8 + 7dx5y) + (2x5 + -9xy7) * dy = 0 Reorder the terms: -3dxy8 + 7dx5y + (-9xy7 + 2x5) * dy = 0 Reorder the terms for easier multiplication: -3dxy8 + 7dx5y + dy(-9xy7 + 2x5) = 0 -3dxy8 + 7dx5y + (-9xy7 * dy + 2x5 * dy) = 0 -3dxy8 + 7dx5y + (-9dxy8 + 2dx5y) = 0 Reorder the terms: -3dxy8 + -9dxy8 + 7dx5y + 2dx5y = 0 Combine like terms: -3dxy8 + -9dxy8 = -12dxy8 -12dxy8 + 7dx5y + 2dx5y = 0 Combine like terms: 7dx5y + 2dx5y = 9dx5y -12dxy8 + 9dx5y = 0 Solving -12dxy8 + 9dx5y = 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), '3dxy'. 3dxy(-4y7 + 3x4) = 0 Ignore the factor 3.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 '(-4y7 + 3x4)' equal to zero and attempt to solve: Simplifying -4y7 + 3x4 = 0 Reorder the terms: 3x4 + -4y7 = 0 Solving 3x4 + -4y7 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x4' to each side of the equation. 3x4 + -3x4 + -4y7 = 0 + -3x4 Combine like terms: 3x4 + -3x4 = 0 0 + -4y7 = 0 + -3x4 -4y7 = 0 + -3x4 Remove the zero: -4y7 = -3x4 Add '4y7' to each side of the equation. -4y7 + 4y7 = -3x4 + 4y7 Combine like terms: -4y7 + 4y7 = 0 0 = -3x4 + 4y7 Simplifying 0 = -3x4 + 4y7 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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