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Simplifying 2cf4 + -2cn4 = 0 Solving 2cf4 + -2cn4 = 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), '2c'. 2c(f4 + -1n4) = 0 Factor a difference between two squares. 2c((f2 + n2)(f2 + -1n2)) = 0 Factor a difference between two squares. 2c((f2 + n2)((f + n)(f + -1n))) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(f2 + n2)' equal to zero and attempt to solve: Simplifying f2 + n2 = 0 Solving f2 + n2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1f2' to each side of the equation. f2 + -1f2 + n2 = 0 + -1f2 Combine like terms: f2 + -1f2 = 0 0 + n2 = 0 + -1f2 n2 = 0 + -1f2 Remove the zero: n2 = -1f2 Add '-1n2' to each side of the equation. n2 + -1n2 = -1f2 + -1n2 Combine like terms: n2 + -1n2 = 0 0 = -1f2 + -1n2 Simplifying 0 = -1f2 + -1n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(f + n)' equal to zero and attempt to solve: Simplifying f + n = 0 Solving f + n = 0 Move all terms containing c to the left, all other terms to the right. Add '-1f' to each side of the equation. f + -1f + n = 0 + -1f Combine like terms: f + -1f = 0 0 + n = 0 + -1f n = 0 + -1f Remove the zero: n = -1f Add '-1n' to each side of the equation. n + -1n = -1f + -1n Combine like terms: n + -1n = 0 0 = -1f + -1n Simplifying 0 = -1f + -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(f + -1n)' equal to zero and attempt to solve: Simplifying f + -1n = 0 Solving f + -1n = 0 Move all terms containing c to the left, all other terms to the right. Add '-1f' to each side of the equation. f + -1f + -1n = 0 + -1f Combine like terms: f + -1f = 0 0 + -1n = 0 + -1f -1n = 0 + -1f Remove the zero: -1n = -1f Add 'n' to each side of the equation. -1n + n = -1f + n Combine like terms: -1n + n = 0 0 = -1f + n Simplifying 0 = -1f + n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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