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Simplifying (6xy3 + cosy) * dx + (2cx2y2 + -1xsiny) * dy = 0 Reorder the terms: (cosy + 6xy3) * dx + (2cx2y2 + -1xsiny) * dy = 0 Reorder the terms for easier multiplication: dx(cosy + 6xy3) + (2cx2y2 + -1xsiny) * dy = 0 (cosy * dx + 6xy3 * dx) + (2cx2y2 + -1xsiny) * dy = 0 (cdosxy + 6dx2y3) + (2cx2y2 + -1xsiny) * dy = 0 Reorder the terms for easier multiplication: cdosxy + 6dx2y3 + dy(2cx2y2 + -1insxy) = 0 cdosxy + 6dx2y3 + (2cx2y2 * dy + -1insxy * dy) = 0 cdosxy + 6dx2y3 + (2cdx2y3 + -1dinsxy2) = 0 Reorder the terms: cdosxy + 2cdx2y3 + -1dinsxy2 + 6dx2y3 = 0 Solving cdosxy + 2cdx2y3 + -1dinsxy2 + 6dx2y3 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'dinsxy2' to each side of the equation. cdosxy + 2cdx2y3 + -1dinsxy2 + dinsxy2 + 6dx2y3 = 0 + dinsxy2 Combine like terms: -1dinsxy2 + dinsxy2 = 0 cdosxy + 2cdx2y3 + 0 + 6dx2y3 = 0 + dinsxy2 cdosxy + 2cdx2y3 + 6dx2y3 = 0 + dinsxy2 Remove the zero: cdosxy + 2cdx2y3 + 6dx2y3 = dinsxy2 Add '-6dx2y3' to each side of the equation. cdosxy + 2cdx2y3 + 6dx2y3 + -6dx2y3 = dinsxy2 + -6dx2y3 Combine like terms: 6dx2y3 + -6dx2y3 = 0 cdosxy + 2cdx2y3 + 0 = dinsxy2 + -6dx2y3 cdosxy + 2cdx2y3 = dinsxy2 + -6dx2y3 Reorder the terms: cdosxy + 2cdx2y3 + -1dinsxy2 + 6dx2y3 = dinsxy2 + -1dinsxy2 + -6dx2y3 + 6dx2y3 Combine like terms: dinsxy2 + -1dinsxy2 = 0 cdosxy + 2cdx2y3 + -1dinsxy2 + 6dx2y3 = 0 + -6dx2y3 + 6dx2y3 cdosxy + 2cdx2y3 + -1dinsxy2 + 6dx2y3 = -6dx2y3 + 6dx2y3 Combine like terms: -6dx2y3 + 6dx2y3 = 0 cdosxy + 2cdx2y3 + -1dinsxy2 + 6dx2y3 = 0 Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(cos + 2cxy2 + -1insy + 6xy2) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dxy' to each side of the equation. dxy + -1dxy = 0 + -1dxy Remove the zero: 0 = -1dxy Simplifying 0 = -1dxy 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 '(cos + 2cxy2 + -1insy + 6xy2)' equal to zero and attempt to solve: Simplifying cos + 2cxy2 + -1insy + 6xy2 = 0 Solving cos + 2cxy2 + -1insy + 6xy2 = 0 Move all terms containing c to the left, all other terms to the right. Add 'insy' to each side of the equation. cos + 2cxy2 + -1insy + insy + 6xy2 = 0 + insy Combine like terms: -1insy + insy = 0 cos + 2cxy2 + 0 + 6xy2 = 0 + insy cos + 2cxy2 + 6xy2 = 0 + insy Remove the zero: cos + 2cxy2 + 6xy2 = insy Add '-6xy2' to each side of the equation. cos + 2cxy2 + 6xy2 + -6xy2 = insy + -6xy2 Combine like terms: 6xy2 + -6xy2 = 0 cos + 2cxy2 + 0 = insy + -6xy2 cos + 2cxy2 = insy + -6xy2 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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