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Simplifying (4x + siny + -2x * cosy2) * dx + ((2x2) * cosy * siny + x * cosy) * dy = 0 Multiply x * cosy2 (4x + insy + -2cosxy2) * dx + ((2x2) * cosy * siny + x * cosy) * dy = 0 Reorder the terms: (-2cosxy2 + insy + 4x) * dx + ((2x2) * cosy * siny + x * cosy) * dy = 0 Reorder the terms for easier multiplication: dx(-2cosxy2 + insy + 4x) + ((2x2) * cosy * siny + x * cosy) * dy = 0 (-2cosxy2 * dx + insy * dx + 4x * dx) + ((2x2) * cosy * siny + x * cosy) * dy = 0 (-2cdosx2y2 + dinsxy + 4dx2) + ((2x2) * cosy * siny + x * cosy) * dy = 0 Remove parenthesis around (2x2) -2cdosx2y2 + dinsxy + 4dx2 + (2x2 * cosy * siny + x * cosy) * dy = 0 Multiply x2 * cosy -2cdosx2y2 + dinsxy + 4dx2 + (2cosx2y * insy + x * cosy) * dy = 0 Multiply cosx2y * insy -2cdosx2y2 + dinsxy + 4dx2 + (2cinos2x2y2 + x * cosy) * dy = 0 Multiply x * cosy -2cdosx2y2 + dinsxy + 4dx2 + (2cinos2x2y2 + cosxy) * dy = 0 Reorder the terms for easier multiplication: -2cdosx2y2 + dinsxy + 4dx2 + dy(2cinos2x2y2 + cosxy) = 0 -2cdosx2y2 + dinsxy + 4dx2 + (2cinos2x2y2 * dy + cosxy * dy) = 0 -2cdosx2y2 + dinsxy + 4dx2 + (2cdinos2x2y3 + cdosxy2) = 0 Reorder the terms: 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + dinsxy + 4dx2 = 0 Solving 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + dinsxy + 4dx2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1dinsxy' to each side of the equation. 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + dinsxy + -1dinsxy + 4dx2 = 0 + -1dinsxy Combine like terms: dinsxy + -1dinsxy = 0 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + 0 + 4dx2 = 0 + -1dinsxy 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + 4dx2 = 0 + -1dinsxy Remove the zero: 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + 4dx2 = -1dinsxy Add '-4dx2' to each side of the equation. 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + 4dx2 + -4dx2 = -1dinsxy + -4dx2 Combine like terms: 4dx2 + -4dx2 = 0 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + 0 = -1dinsxy + -4dx2 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 = -1dinsxy + -4dx2 Reorder the terms: 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + dinsxy + 4dx2 = -1dinsxy + dinsxy + -4dx2 + 4dx2 Combine like terms: -1dinsxy + dinsxy = 0 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + dinsxy + 4dx2 = 0 + -4dx2 + 4dx2 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + dinsxy + 4dx2 = -4dx2 + 4dx2 Combine like terms: -4dx2 + 4dx2 = 0 2cdinos2x2y3 + cdosxy2 + -2cdosx2y2 + dinsxy + 4dx2 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(2cinos2xy3 + cosy2 + -2cosxy2 + insy + 4x) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dx' to each side of the equation. dx + -1dx = 0 + -1dx Remove the zero: 0 = -1dx Simplifying 0 = -1dx 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 '(2cinos2xy3 + cosy2 + -2cosxy2 + insy + 4x)' equal to zero and attempt to solve: Simplifying 2cinos2xy3 + cosy2 + -2cosxy2 + insy + 4x = 0 Reorder the terms: 2cinos2xy3 + -2cosxy2 + cosy2 + insy + 4x = 0 Solving 2cinos2xy3 + -2cosxy2 + cosy2 + insy + 4x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1insy' to each side of the equation. 2cinos2xy3 + -2cosxy2 + cosy2 + insy + -1insy + 4x = 0 + -1insy Combine like terms: insy + -1insy = 0 2cinos2xy3 + -2cosxy2 + cosy2 + 0 + 4x = 0 + -1insy 2cinos2xy3 + -2cosxy2 + cosy2 + 4x = 0 + -1insy Remove the zero: 2cinos2xy3 + -2cosxy2 + cosy2 + 4x = -1insy Add '-4x' to each side of the equation. 2cinos2xy3 + -2cosxy2 + cosy2 + 4x + -4x = -1insy + -4x Combine like terms: 4x + -4x = 0 2cinos2xy3 + -2cosxy2 + cosy2 + 0 = -1insy + -4x 2cinos2xy3 + -2cosxy2 + cosy2 = -1insy + -4x 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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