-28i=(4m)i

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Solution for -28i=(4m)i equation: 


Simplifying
-28i = (4m) * i

Remove parenthesis around (4m)
-28i = 4m * i

Multiply m * i
-28i = 4im

Solving
-28i = 4im

Solving for variable 'i'.

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

Add '-4im' to each side of the equation.
-28i + -4im = 4im + -4im

Combine like terms: 4im + -4im = 0
-28i + -4im = 0

Factor out the Greatest Common Factor (GCF), '-4i'.
-4i(7 + m) = 0

Ignore the factor -4.

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 '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 0

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

Add '-7' to each side of the equation.
7 + -7 + m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + m = 0 + -7
m = 0 + -7

Combine like terms: 0 + -7 = -7
m = -7

Add '-1m' to each side of the equation.
m + -1m = -7 + -1m

Combine like terms: m + -1m = 0
0 = -7 + -1m

Simplifying
0 = -7 + -1m

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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