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Simplifying (x + -1y3 + y2senx) * dx = (3xy2 + 2ycosx) * dy Reorder the terms: (ensxy2 + x + -1y3) * dx = (3xy2 + 2ycosx) * dy Reorder the terms for easier multiplication: dx(ensxy2 + x + -1y3) = (3xy2 + 2ycosx) * dy (ensxy2 * dx + x * dx + -1y3 * dx) = (3xy2 + 2ycosx) * dy Reorder the terms: (densx2y2 + -1dxy3 + dx2) = (3xy2 + 2ycosx) * dy (densx2y2 + -1dxy3 + dx2) = (3xy2 + 2ycosx) * dy Reorder the terms: densx2y2 + -1dxy3 + dx2 = (2cosxy + 3xy2) * dy Reorder the terms for easier multiplication: densx2y2 + -1dxy3 + dx2 = dy(2cosxy + 3xy2) densx2y2 + -1dxy3 + dx2 = (2cosxy * dy + 3xy2 * dy) densx2y2 + -1dxy3 + dx2 = (2cdosxy2 + 3dxy3) Solving densx2y2 + -1dxy3 + dx2 = 2cdosxy2 + 3dxy3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2cdosxy2' to each side of the equation. densx2y2 + -1dxy3 + -2cdosxy2 + dx2 = 2cdosxy2 + -2cdosxy2 + 3dxy3 Reorder the terms: -2cdosxy2 + densx2y2 + -1dxy3 + dx2 = 2cdosxy2 + -2cdosxy2 + 3dxy3 Combine like terms: 2cdosxy2 + -2cdosxy2 = 0 -2cdosxy2 + densx2y2 + -1dxy3 + dx2 = 0 + 3dxy3 -2cdosxy2 + densx2y2 + -1dxy3 + dx2 = 3dxy3 Add '-3dxy3' to each side of the equation. -2cdosxy2 + densx2y2 + -1dxy3 + -3dxy3 + dx2 = 3dxy3 + -3dxy3 Combine like terms: -1dxy3 + -3dxy3 = -4dxy3 -2cdosxy2 + densx2y2 + -4dxy3 + dx2 = 3dxy3 + -3dxy3 Combine like terms: 3dxy3 + -3dxy3 = 0 -2cdosxy2 + densx2y2 + -4dxy3 + dx2 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-2cosy2 + ensxy2 + -4y3 + x) = 0Subproblem 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 '(-2cosy2 + ensxy2 + -4y3 + x)' equal to zero and attempt to solve: Simplifying -2cosy2 + ensxy2 + -4y3 + x = 0 Reorder the terms: -2cosy2 + ensxy2 + x + -4y3 = 0 Solving -2cosy2 + ensxy2 + x + -4y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '2cosy2' to each side of the equation. -2cosy2 + ensxy2 + x + 2cosy2 + -4y3 = 0 + 2cosy2 Reorder the terms: -2cosy2 + 2cosy2 + ensxy2 + x + -4y3 = 0 + 2cosy2 Combine like terms: -2cosy2 + 2cosy2 = 0 0 + ensxy2 + x + -4y3 = 0 + 2cosy2 ensxy2 + x + -4y3 = 0 + 2cosy2 Remove the zero: ensxy2 + x + -4y3 = 2cosy2 Add '-1ensxy2' to each side of the equation. ensxy2 + x + -1ensxy2 + -4y3 = 2cosy2 + -1ensxy2 Reorder the terms: ensxy2 + -1ensxy2 + x + -4y3 = 2cosy2 + -1ensxy2 Combine like terms: ensxy2 + -1ensxy2 = 0 0 + x + -4y3 = 2cosy2 + -1ensxy2 x + -4y3 = 2cosy2 + -1ensxy2 Add '-1x' to each side of the equation. x + -1x + -4y3 = 2cosy2 + -1ensxy2 + -1x Combine like terms: x + -1x = 0 0 + -4y3 = 2cosy2 + -1ensxy2 + -1x -4y3 = 2cosy2 + -1ensxy2 + -1x Add '4y3' to each side of the equation. -4y3 + 4y3 = 2cosy2 + -1ensxy2 + -1x + 4y3 Combine like terms: -4y3 + 4y3 = 0 0 = 2cosy2 + -1ensxy2 + -1x + 4y3 Simplifying 0 = 2cosy2 + -1ensxy2 + -1x + 4y3 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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