7+8i(3+6i)=

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Solution for 7+8i(3+6i)= equation:


Simplifying
7 + 8i(3 + 6i) = 0
7 + (3 * 8i + 6i * 8i) = 0
7 + (24i + 48i2) = 0

Solving
7 + 24i + 48i2 = 0

Solving for variable 'i'.

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

Divide each side by '48'.
0.1458333333 + 0.5i + i2 = 0

Move the constant term to the right:

Add '-0.1458333333' to each side of the equation.
0.1458333333 + 0.5i + -0.1458333333 + i2 = 0 + -0.1458333333

Reorder the terms:
0.1458333333 + -0.1458333333 + 0.5i + i2 = 0 + -0.1458333333

Combine like terms: 0.1458333333 + -0.1458333333 = 0.0000000000
0.0000000000 + 0.5i + i2 = 0 + -0.1458333333
0.5i + i2 = 0 + -0.1458333333

Combine like terms: 0 + -0.1458333333 = -0.1458333333
0.5i + i2 = -0.1458333333

The i term is 0.5i.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5i + 0.0625 + i2 = -0.1458333333 + 0.0625

Reorder the terms:
0.0625 + 0.5i + i2 = -0.1458333333 + 0.0625

Combine like terms: -0.1458333333 + 0.0625 = -0.0833333333
0.0625 + 0.5i + i2 = -0.0833333333

Factor a perfect square on the left side:
(i + 0.25)(i + 0.25) = -0.0833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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