(12i^2-10i)+(2+5i)=

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Solution for (12i^2-10i)+(2+5i)= equation:


Simplifying
(12i2 + -10i) + (2 + 5i) = 0

Reorder the terms:
(-10i + 12i2) + (2 + 5i) = 0

Remove parenthesis around (-10i + 12i2)
-10i + 12i2 + (2 + 5i) = 0

Remove parenthesis around (2 + 5i)
-10i + 12i2 + 2 + 5i = 0

Reorder the terms:
2 + -10i + 5i + 12i2 = 0

Combine like terms: -10i + 5i = -5i
2 + -5i + 12i2 = 0

Solving
2 + -5i + 12i2 = 0

Solving for variable 'i'.

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

Divide each side by '12'.
0.1666666667 + -0.4166666667i + i2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.4166666667i + -0.1666666667 + i2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.4166666667i + i2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.4166666667i + i2 = 0 + -0.1666666667
-0.4166666667i + i2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.4166666667i + i2 = -0.1666666667

The i term is -0.4166666667i.  Take half its coefficient (-0.2083333334).
Square it (0.04340277781) and add it to both sides.

Add '0.04340277781' to each side of the equation.
-0.4166666667i + 0.04340277781 + i2 = -0.1666666667 + 0.04340277781

Reorder the terms:
0.04340277781 + -0.4166666667i + i2 = -0.1666666667 + 0.04340277781

Combine like terms: -0.1666666667 + 0.04340277781 = -0.12326388889
0.04340277781 + -0.4166666667i + i2 = -0.12326388889

Factor a perfect square on the left side:
(i + -0.2083333334)(i + -0.2083333334) = -0.12326388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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