(13i^2-6i)+(7+3i)=

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Solution for (13i^2-6i)+(7+3i)= equation: 


Simplifying
(13i2 + -6i) + (7 + 3i) = 0

Reorder the terms:
(-6i + 13i2) + (7 + 3i) = 0

Remove parenthesis around (-6i + 13i2)
-6i + 13i2 + (7 + 3i) = 0

Remove parenthesis around (7 + 3i)
-6i + 13i2 + 7 + 3i = 0

Reorder the terms:
7 + -6i + 3i + 13i2 = 0

Combine like terms: -6i + 3i = -3i
7 + -3i + 13i2 = 0

Solving
7 + -3i + 13i2 = 0

Solving for variable 'i'.

Begin completing the square.  Divide all terms by
13 the coefficient of the squared term: 

Divide each side by '13'.
0.5384615385 + -0.2307692308i + i2 = 0

Move the constant term to the right:

Add '-0.5384615385' to each side of the equation.
0.5384615385 + -0.2307692308i + -0.5384615385 + i2 = 0 + -0.5384615385

Reorder the terms:
0.5384615385 + -0.5384615385 + -0.2307692308i + i2 = 0 + -0.5384615385

Combine like terms: 0.5384615385 + -0.5384615385 = 0.0000000000
0.0000000000 + -0.2307692308i + i2 = 0 + -0.5384615385
-0.2307692308i + i2 = 0 + -0.5384615385

Combine like terms: 0 + -0.5384615385 = -0.5384615385
-0.2307692308i + i2 = -0.5384615385

The i term is -0.2307692308i.  Take half its coefficient (-0.1153846154).
Square it (0.01331360947) and add it to both sides.

Add '0.01331360947' to each side of the equation.
-0.2307692308i + 0.01331360947 + i2 = -0.5384615385 + 0.01331360947

Reorder the terms:
0.01331360947 + -0.2307692308i + i2 = -0.5384615385 + 0.01331360947

Combine like terms: -0.5384615385 + 0.01331360947 = -0.52514792903
0.01331360947 + -0.2307692308i + i2 = -0.52514792903

Factor a perfect square on the left side:
(i + -0.1153846154)(i + -0.1153846154) = -0.52514792903

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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