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Simplifying 2cos(2x + -1y) * dx + -1cos(2x + -1y) = 0 Reorder the terms for easier multiplication: 2cos * dx(2x + -1y) + -1cos(2x + -1y) = 0 Multiply cos * dx 2cdosx(2x + -1y) + -1cos(2x + -1y) = 0 (2x * 2cdosx + -1y * 2cdosx) + -1cos(2x + -1y) = 0 Reorder the terms: (-2cdosxy + 4cdosx2) + -1cos(2x + -1y) = 0 (-2cdosxy + 4cdosx2) + -1cos(2x + -1y) = 0 -2cdosxy + 4cdosx2 + (2x * -1cos + -1y * -1cos) = 0 -2cdosxy + 4cdosx2 + (-2cosx + 1cosy) = 0 Solving -2cdosxy + 4cdosx2 + -2cosx + 1cosy = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cos'. cos(-2dxy + 4dx2 + -2x + y) = 0Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 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 '(-2dxy + 4dx2 + -2x + y)' equal to zero and attempt to solve: Simplifying -2dxy + 4dx2 + -2x + y = 0 Solving -2dxy + 4dx2 + -2x + y = 0 Move all terms containing c to the left, all other terms to the right. Add '2dxy' to each side of the equation. -2dxy + 4dx2 + -2x + 2dxy + y = 0 + 2dxy Reorder the terms: -2dxy + 2dxy + 4dx2 + -2x + y = 0 + 2dxy Combine like terms: -2dxy + 2dxy = 0 0 + 4dx2 + -2x + y = 0 + 2dxy 4dx2 + -2x + y = 0 + 2dxy Remove the zero: 4dx2 + -2x + y = 2dxy Add '-4dx2' to each side of the equation. 4dx2 + -2x + -4dx2 + y = 2dxy + -4dx2 Reorder the terms: 4dx2 + -4dx2 + -2x + y = 2dxy + -4dx2 Combine like terms: 4dx2 + -4dx2 = 0 0 + -2x + y = 2dxy + -4dx2 -2x + y = 2dxy + -4dx2 Add '2x' to each side of the equation. -2x + 2x + y = 2dxy + -4dx2 + 2x Combine like terms: -2x + 2x = 0 0 + y = 2dxy + -4dx2 + 2x y = 2dxy + -4dx2 + 2x Add '-1y' to each side of the equation. y + -1y = 2dxy + -4dx2 + 2x + -1y Combine like terms: y + -1y = 0 0 = 2dxy + -4dx2 + 2x + -1y Simplifying 0 = 2dxy + -4dx2 + 2x + -1y 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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