8i^2=8i-3

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Solution for 8i^2=8i-3 equation:


Simplifying
8i2 = 8i + -3

Reorder the terms:
8i2 = -3 + 8i

Solving
8i2 = -3 + 8i

Solving for variable 'i'.

Reorder the terms:
3 + -8i + 8i2 = -3 + 8i + 3 + -8i

Reorder the terms:
3 + -8i + 8i2 = -3 + 3 + 8i + -8i

Combine like terms: -3 + 3 = 0
3 + -8i + 8i2 = 0 + 8i + -8i
3 + -8i + 8i2 = 8i + -8i

Combine like terms: 8i + -8i = 0
3 + -8i + 8i2 = 0

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

Divide each side by '8'.
0.375 + -1i + i2 = 0

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + -1i + -0.375 + i2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + -1i + i2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + -1i + i2 = 0 + -0.375
-1i + i2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
-1i + i2 = -0.375

The i term is -1i.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1i + 0.25 + i2 = -0.375 + 0.25

Reorder the terms:
0.25 + -1i + i2 = -0.375 + 0.25

Combine like terms: -0.375 + 0.25 = -0.125
0.25 + -1i + i2 = -0.125

Factor a perfect square on the left side:
(i + -0.5)(i + -0.5) = -0.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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