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Simplifying dx = y(1 + y2) * sec2(x) * dy Reorder the terms for easier multiplication: dx = y * c2es * x * dy(1 + y2) Multiply y * c2es dx = c2esy * x * dy(1 + y2) Multiply c2esy * x dx = c2esxy * dy(1 + y2) Multiply c2esxy * dy dx = c2desxy2(1 + y2) dx = (1 * c2desxy2 + y2 * c2desxy2) dx = (1c2desxy2 + c2desxy4) Solving dx = 1c2desxy2 + c2desxy4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1c2desxy2' to each side of the equation. -1c2desxy2 + dx = 1c2desxy2 + -1c2desxy2 + c2desxy4 Combine like terms: 1c2desxy2 + -1c2desxy2 = 0 -1c2desxy2 + dx = 0 + c2desxy4 -1c2desxy2 + dx = c2desxy4 Add '-1c2desxy4' to each side of the equation. -1c2desxy2 + -1c2desxy4 + dx = c2desxy4 + -1c2desxy4 Combine like terms: c2desxy4 + -1c2desxy4 = 0 -1c2desxy2 + -1c2desxy4 + dx = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-1c2esy2 + -1c2esy4 + 1) = 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 '(-1c2esy2 + -1c2esy4 + 1)' equal to zero and attempt to solve: Simplifying -1c2esy2 + -1c2esy4 + 1 = 0 Reorder the terms: 1 + -1c2esy2 + -1c2esy4 = 0 Solving 1 + -1c2esy2 + -1c2esy4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1c2esy2 + -1 + -1c2esy4 = 0 + -1 Reorder the terms: 1 + -1 + -1c2esy2 + -1c2esy4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c2esy2 + -1c2esy4 = 0 + -1 -1c2esy2 + -1c2esy4 = 0 + -1 Combine like terms: 0 + -1 = -1 -1c2esy2 + -1c2esy4 = -1 Add 'c2esy2' to each side of the equation. -1c2esy2 + c2esy2 + -1c2esy4 = -1 + c2esy2 Combine like terms: -1c2esy2 + c2esy2 = 0 0 + -1c2esy4 = -1 + c2esy2 -1c2esy4 = -1 + c2esy2 Add 'c2esy4' to each side of the equation. -1c2esy4 + c2esy4 = -1 + c2esy2 + c2esy4 Combine like terms: -1c2esy4 + c2esy4 = 0 0 = -1 + c2esy2 + c2esy4 Simplifying 0 = -1 + c2esy2 + c2esy4 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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