f(9)if=x-13

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Solution for f(9)if=x-13 equation:


Simplifying
f(9) * if = x + -13

Reorder the terms for easier multiplication:
9f * fi = x + -13

Multiply f * fi
9f2i = x + -13

Reorder the terms:
9f2i = -13 + x

Solving
9f2i = -13 + x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '9i'.
f2 = -1.444444444i-1 + 0.1111111111i-1x

Simplifying
f2 = -1.444444444i-1 + 0.1111111111i-1x

Reorder the terms:
f2 + 1.444444444i-1 + -0.1111111111i-1x = -1.444444444i-1 + 1.444444444i-1 + 0.1111111111i-1x + -0.1111111111i-1x

Combine like terms: -1.444444444i-1 + 1.444444444i-1 = 0.000000000
f2 + 1.444444444i-1 + -0.1111111111i-1x = 0.000000000 + 0.1111111111i-1x + -0.1111111111i-1x
f2 + 1.444444444i-1 + -0.1111111111i-1x = 0.1111111111i-1x + -0.1111111111i-1x

Combine like terms: 0.1111111111i-1x + -0.1111111111i-1x = 0.0000000000
f2 + 1.444444444i-1 + -0.1111111111i-1x = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'i-1'.
i-1(f2i + 1.444444444 + -0.1111111111x) = 0.0000000000

Subproblem 1

Set the factor 'i-1' equal to zero and attempt to solve: Simplifying i-1 = 0 Solving i-1 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1i-1' to each side of the equation. i-1 + -1i-1 = 0 + -1i-1 Remove the zero: 0 = -1i-1 Simplifying 0 = -1i-1 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 '(f2i + 1.444444444 + -0.1111111111x)' equal to zero and attempt to solve: Simplifying f2i + 1.444444444 + -0.1111111111x = 0 Reorder the terms: 1.444444444 + f2i + -0.1111111111x = 0 Solving 1.444444444 + f2i + -0.1111111111x = 0 Move all terms containing f to the left, all other terms to the right. Add '-1.444444444' to each side of the equation. 1.444444444 + f2i + -1.444444444 + -0.1111111111x = 0 + -1.444444444 Reorder the terms: 1.444444444 + -1.444444444 + f2i + -0.1111111111x = 0 + -1.444444444 Combine like terms: 1.444444444 + -1.444444444 = 0.000000000 0.000000000 + f2i + -0.1111111111x = 0 + -1.444444444 f2i + -0.1111111111x = 0 + -1.444444444 Combine like terms: 0 + -1.444444444 = -1.444444444 f2i + -0.1111111111x = -1.444444444 Add '0.1111111111x' to each side of the equation. f2i + -0.1111111111x + 0.1111111111x = -1.444444444 + 0.1111111111x Combine like terms: -0.1111111111x + 0.1111111111x = 0.0000000000 f2i + 0.0000000000 = -1.444444444 + 0.1111111111x f2i = -1.444444444 + 0.1111111111x Divide each side by 'i'. f2 = -1.444444444i-1 + 0.1111111111i-1x Simplifying f2 = -1.444444444i-1 + 0.1111111111i-1x 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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