(-n+3)i=8i

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Solution for (-n+3)i=8i equation:


Simplifying
(-1n + 3) * i = 8i

Reorder the terms:
(3 + -1n) * i = 8i

Reorder the terms for easier multiplication:
i(3 + -1n) = 8i
(3 * i + -1n * i) = 8i
(3i + -1in) = 8i

Solving
3i + -1in = 8i

Solving for variable 'i'.

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

Add '-8i' to each side of the equation.
3i + -8i + -1in = 8i + -8i

Combine like terms: 3i + -8i = -5i
-5i + -1in = 8i + -8i

Combine like terms: 8i + -8i = 0
-5i + -1in = 0

Factor out the Greatest Common Factor (GCF), '-1i'.
-1i(5 + n) = 0

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

Set the factor '(5 + n)' equal to zero and attempt to solve: Simplifying 5 + n = 0 Solving 5 + n = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + n = 0 + -5 n = 0 + -5 Combine like terms: 0 + -5 = -5 n = -5 Add '-1n' to each side of the equation. n + -1n = -5 + -1n Combine like terms: n + -1n = 0 0 = -5 + -1n Simplifying 0 = -5 + -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

i = {0}

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