f=f(1-m)form

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Solution for f=f(1-m)form equation:


Simplifying
f = f(1 + -1m) * form

Reorder the terms for easier multiplication:
f = f * fmor(1 + -1m)

Multiply f * fmor
f = f2mor(1 + -1m)
f = (1 * f2mor + -1m * f2mor)
f = (1f2mor + -1f2m2or)

Solving
f = 1f2mor + -1f2m2or

Solving for variable 'f'.

Reorder the terms:
f + -1f2mor + f2m2or = 1f2mor + -1f2mor + -1f2m2or + f2m2or

Combine like terms: 1f2mor + -1f2mor = 0
f + -1f2mor + f2m2or = 0 + -1f2m2or + f2m2or
f + -1f2mor + f2m2or = -1f2m2or + f2m2or

Combine like terms: -1f2m2or + f2m2or = 0
f + -1f2mor + f2m2or = 0

Factor out the Greatest Common Factor (GCF), 'f'.
f(1 + -1fmor + fm2or) = 0

Subproblem 1

Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0

Subproblem 2

Set the factor '(1 + -1fmor + fm2or)' equal to zero and attempt to solve: Simplifying 1 + -1fmor + fm2or = 0 Solving 1 + -1fmor + fm2or = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1fmor + -1 + fm2or = 0 + -1 Reorder the terms: 1 + -1 + -1fmor + fm2or = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1fmor + fm2or = 0 + -1 -1fmor + fm2or = 0 + -1 Combine like terms: 0 + -1 = -1 -1fmor + fm2or = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

f = {0}

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