(4-3i)+(-5+i)=equation

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Solution for (4-3i)+(-5+i)=equation equation:


Simplifying
(4 + -3i) + (-5 + i) = equation

Remove parenthesis around (4 + -3i)
4 + -3i + (-5 + i) = equation

Remove parenthesis around (-5 + i)
4 + -3i + -5 + i = equation

Reorder the terms:
4 + -5 + -3i + i = equation

Combine like terms: 4 + -5 = -1
-1 + -3i + i = equation

Combine like terms: -3i + i = -2i
-1 + -2i = equation

Solving
-1 + -2i = aeinoqtu

Solving for variable 'i'.

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

Add '-1aeinoqtu' to each side of the equation.
-1 + -1aeinoqtu + -2i = aeinoqtu + -1aeinoqtu

Combine like terms: aeinoqtu + -1aeinoqtu = 0
-1 + -1aeinoqtu + -2i = 0

Add '1' to each side of the equation.
-1 + -1aeinoqtu + 1 + -2i = 0 + 1

Reorder the terms:
-1 + 1 + -1aeinoqtu + -2i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1aeinoqtu + -2i = 0 + 1
-1aeinoqtu + -2i = 0 + 1

Combine like terms: 0 + 1 = 1
-1aeinoqtu + -2i = 1

Reorder the terms:
-1 + -1aeinoqtu + -2i = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1aeinoqtu + -2i = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + aeinoqtu + 2i) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(1 + aeinoqtu + 2i)' equal to zero and attempt to solve: Simplifying 1 + aeinoqtu + 2i = 0 Solving 1 + aeinoqtu + 2i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + aeinoqtu + -1 + 2i = 0 + -1 Reorder the terms: 1 + -1 + aeinoqtu + 2i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + aeinoqtu + 2i = 0 + -1 aeinoqtu + 2i = 0 + -1 Combine like terms: 0 + -1 = -1 aeinoqtu + 2i = -1 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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