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Simplifying (cos(2y) + -3(x2)(y2)) * dx + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 Remove parenthesis around (2y) (cos * 2y + -3(x2)(y2)) * dx + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 Reorder the terms for easier multiplication: (2cos * y + -3(x2)(y2)) * dx + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 Multiply cos * y (2cosy + -3(x2)(y2)) * dx + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 Multiply x2 * y2 (2cosy + -3x2y2) * dx + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 Reorder the terms for easier multiplication: dx(2cosy + -3x2y2) + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 (2cosy * dx + -3x2y2 * dx) + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 (2cdosxy + -3dx3y2) + (cos(2y) + -2xsin(2y) + -2(x3)(y)) * dy = 0 Remove parenthesis around (2y) 2cdosxy + -3dx3y2 + (cos * 2y + -2xsin(2y) + -2(x3)(y)) * dy = 0 Reorder the terms for easier multiplication: 2cdosxy + -3dx3y2 + (2cos * y + -2xsin(2y) + -2(x3)(y)) * dy = 0 Multiply cos * y 2cdosxy + -3dx3y2 + (2cosy + -2xsin(2y) + -2(x3)(y)) * dy = 0 Remove parenthesis around (2y) 2cdosxy + -3dx3y2 + (2cosy + -2insx * 2y + -2(x3)(y)) * dy = 0 Reorder the terms for easier multiplication: 2cdosxy + -3dx3y2 + (2cosy + -2 * 2insx * y + -2(x3)(y)) * dy = 0 Multiply -2 * 2 2cdosxy + -3dx3y2 + (2cosy + -4insx * y + -2(x3)(y)) * dy = 0 Multiply insx * y 2cdosxy + -3dx3y2 + (2cosy + -4insxy + -2(x3)(y)) * dy = 0 Multiply x3 * y 2cdosxy + -3dx3y2 + (2cosy + -4insxy + -2x3y) * dy = 0 Reorder the terms for easier multiplication: 2cdosxy + -3dx3y2 + dy(2cosy + -4insxy + -2x3y) = 0 2cdosxy + -3dx3y2 + (2cosy * dy + -4insxy * dy + -2x3y * dy) = 0 2cdosxy + -3dx3y2 + (2cdosy2 + -4dinsxy2 + -2dx3y2) = 0 Reorder the terms: 2cdosxy + 2cdosy2 + -4dinsxy2 + -3dx3y2 + -2dx3y2 = 0 Combine like terms: -3dx3y2 + -2dx3y2 = -5dx3y2 2cdosxy + 2cdosy2 + -4dinsxy2 + -5dx3y2 = 0 Solving 2cdosxy + 2cdosy2 + -4dinsxy2 + -5dx3y2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4dinsxy2' to each side of the equation. 2cdosxy + 2cdosy2 + -4dinsxy2 + 4dinsxy2 + -5dx3y2 = 0 + 4dinsxy2 Combine like terms: -4dinsxy2 + 4dinsxy2 = 0 2cdosxy + 2cdosy2 + 0 + -5dx3y2 = 0 + 4dinsxy2 2cdosxy + 2cdosy2 + -5dx3y2 = 0 + 4dinsxy2 Remove the zero: 2cdosxy + 2cdosy2 + -5dx3y2 = 4dinsxy2 Add '5dx3y2' to each side of the equation. 2cdosxy + 2cdosy2 + -5dx3y2 + 5dx3y2 = 4dinsxy2 + 5dx3y2 Combine like terms: -5dx3y2 + 5dx3y2 = 0 2cdosxy + 2cdosy2 + 0 = 4dinsxy2 + 5dx3y2 2cdosxy + 2cdosy2 = 4dinsxy2 + 5dx3y2 Reorder the terms: 2cdosxy + 2cdosy2 + -4dinsxy2 + -5dx3y2 = 4dinsxy2 + -4dinsxy2 + 5dx3y2 + -5dx3y2 Combine like terms: 4dinsxy2 + -4dinsxy2 = 0 2cdosxy + 2cdosy2 + -4dinsxy2 + -5dx3y2 = 0 + 5dx3y2 + -5dx3y2 2cdosxy + 2cdosy2 + -4dinsxy2 + -5dx3y2 = 5dx3y2 + -5dx3y2 Combine like terms: 5dx3y2 + -5dx3y2 = 0 2cdosxy + 2cdosy2 + -4dinsxy2 + -5dx3y2 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(2cosx + 2cosy + -4insxy + -5x3y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing c to the left, all other terms to the right. Add '-1dy' to each side of the equation. dy + -1dy = 0 + -1dy Remove the zero: 0 = -1dy Simplifying 0 = -1dy 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 '(2cosx + 2cosy + -4insxy + -5x3y)' equal to zero and attempt to solve: Simplifying 2cosx + 2cosy + -4insxy + -5x3y = 0 Solving 2cosx + 2cosy + -4insxy + -5x3y = 0 Move all terms containing c to the left, all other terms to the right. Add '4insxy' to each side of the equation. 2cosx + 2cosy + -4insxy + 4insxy + -5x3y = 0 + 4insxy Combine like terms: -4insxy + 4insxy = 0 2cosx + 2cosy + 0 + -5x3y = 0 + 4insxy 2cosx + 2cosy + -5x3y = 0 + 4insxy Remove the zero: 2cosx + 2cosy + -5x3y = 4insxy Add '5x3y' to each side of the equation. 2cosx + 2cosy + -5x3y + 5x3y = 4insxy + 5x3y Combine like terms: -5x3y + 5x3y = 0 2cosx + 2cosy + 0 = 4insxy + 5x3y 2cosx + 2cosy = 4insxy + 5x3y 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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