-8j^2=2j

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

Simplifying
-8j2 = 2j

Solving
-8j2 = 2j

Solving for variable 'j'.

Reorder the terms:
-2j + -8j2 = 2j + -2j

Combine like terms: 2j + -2j = 0
-2j + -8j2 = 0

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

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

Simplifying
j = 0

Solving
j = 0

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

Simplifying
j = 0
Subproblem 2
Set the factor '(1 + 4j)' equal to zero and attempt to solve:

Simplifying
1 + 4j = 0

Solving
1 + 4j = 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 + 4j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4j = 0 + -1
4j = 0 + -1

Combine like terms: 0 + -1 = -1
4j = -1

Divide each side by '4'.
j = -0.25

Simplifying
j = -0.25
Solution
j = {0, -0.25}