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Simplifying (F + -1kx) * dy = ydx Reorder the terms for easier multiplication: dy(F + -1kx) = ydx (F * dy + -1kx * dy) = ydx Reorder the terms: (-1dkxy + dyF) = ydx (-1dkxy + dyF) = ydx Solving -1dkxy + dyF = dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy' to each side of the equation. -1dkxy + -1dxy + dyF = dxy + -1dxy Combine like terms: dxy + -1dxy = 0 -1dkxy + -1dxy + dyF = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1kx + -1x + F) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-1kx + -1x + F)' equal to zero and attempt to solve: Simplifying -1kx + -1x + F = 0 Reorder the terms: F + -1kx + -1x = 0 Solving F + -1kx + -1x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1kx + -1F + -1x = 0 + -1F Reorder the terms: F + -1F + -1kx + -1x = 0 + -1F Combine like terms: F + -1F = 0 0 + -1kx + -1x = 0 + -1F -1kx + -1x = 0 + -1F Remove the zero: -1kx + -1x = -1F Add 'kx' to each side of the equation. -1kx + kx + -1x = -1F + kx Combine like terms: -1kx + kx = 0 0 + -1x = -1F + kx -1x = -1F + kx Add 'x' to each side of the equation. -1x + x = -1F + kx + x Combine like terms: -1x + x = 0 0 = -1F + kx + x Simplifying 0 = -1F + kx + x 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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