4(-4-i)-(5i)(8i)=

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Solution for 4(-4-i)-(5i)(8i)= equation: 


Simplifying
4(-4 + -1i) + -1(5i)(8i) = 0
(-4 * 4 + -1i * 4) + -1(5i)(8i) = 0
(-16 + -4i) + -1(5i)(8i) = 0

Remove parenthesis around (5i)
-16 + -4i + -1 * 5i(8i) = 0

Remove parenthesis around (8i)
-16 + -4i + -1 * 5i * 8i = 0

Reorder the terms for easier multiplication:
-16 + -4i + -1 * 5 * 8i * i = 0

Multiply -1 * 5
-16 + -4i + -5 * 8i * i = 0

Multiply -5 * 8
-16 + -4i + -40i * i = 0

Multiply i * i
-16 + -4i + -40i2 = 0

Solving
-16 + -4i + -40i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(4 + i + 10i2) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(4 + i + 10i2)' equal to zero and attempt to solve:

Simplifying
4 + i + 10i2 = 0

Solving
4 + i + 10i2 = 0

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

Divide each side by '10'.
0.4 + 0.1i + i2 = 0.0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + 0.1i + -0.4 + i2 = 0.0 + -0.4

Reorder the terms:
0.4 + -0.4 + 0.1i + i2 = 0.0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.1i + i2 = 0.0 + -0.4
0.1i + i2 = 0.0 + -0.4

Combine like terms: 0.0 + -0.4 = -0.4
0.1i + i2 = -0.4

The i term is i.  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.
0.1i + 0.25 + i2 = -0.4 + 0.25

Reorder the terms:
0.25 + 0.1i + i2 = -0.4 + 0.25

Combine like terms: -0.4 + 0.25 = -0.15
0.25 + 0.1i + i2 = -0.15

Factor a perfect square on the left side:
(i + 0.5)(i + 0.5) = -0.15

Can't calculate square root of the right side.

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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