4+(x-3)i=4-16i

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Solution for 4+(x-3)i=4-16i equation: 


Simplifying
4 + (x + -3) * i = 4 + -16i

Reorder the terms:
4 + (-3 + x) * i = 4 + -16i

Reorder the terms for easier multiplication:
4 + i(-3 + x) = 4 + -16i
4 + (-3 * i + x * i) = 4 + -16i
4 + (-3i + ix) = 4 + -16i

Add '-4' to each side of the equation.
4 + -3i + -4 + ix = 4 + -4 + -16i

Reorder the terms:
4 + -4 + -3i + ix = 4 + -4 + -16i

Combine like terms: 4 + -4 = 0
0 + -3i + ix = 4 + -4 + -16i
-3i + ix = 4 + -4 + -16i

Combine like terms: 4 + -4 = 0
-3i + ix = 0 + -16i
-3i + ix = -16i

Solving
-3i + ix = -16i

Solving for variable 'i'.

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

Add '16i' to each side of the equation.
-3i + 16i + ix = -16i + 16i

Combine like terms: -3i + 16i = 13i
13i + ix = -16i + 16i

Combine like terms: -16i + 16i = 0
13i + ix = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(13 + x) = 0


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 '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Add '-1x' to each side of the equation.
x + -1x = -13 + -1x

Combine like terms: x + -1x = 0
0 = -13 + -1x

Simplifying
0 = -13 + -1x

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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