8j^2-4j-4=0

Solution for 8j^2-4j-4=0 equation:

Simplifying
8j2 + -4j + -4 = 0

Reorder the terms:
-4 + -4j + 8j2 = 0

Solving
-4 + -4j + 8j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -1j + 2j2) = 0

Factor a trinomial.
4((-1 + -2j)(1 + -1j)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -2j)' equal to zero and attempt to solve:

Simplifying
-1 + -2j = 0

Solving
-1 + -2j = 0

Move all terms containing j to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -2j = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2j = 0 + 1
-2j = 0 + 1

Combine like terms: 0 + 1 = 1
-2j = 1

Divide each side by '-2'.
j = -0.5

Simplifying
j = -0.5
Subproblem 2
Set the factor '(1 + -1j)' equal to zero and attempt to solve:

Simplifying
1 + -1j = 0

Solving
1 + -1j = 0

Move all terms containing j to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1j = 0 + -1
-1j = 0 + -1

Combine like terms: 0 + -1 = -1
-1j = -1

Divide each side by '-1'.
j = 1

Simplifying
j = 1
Solution
j = {-0.5, 1}