-8j^2-40j-18=0

Solution for -8j^2-40j-18=0 equation:

Simplifying
-8j2 + -40j + -18 = 0

Reorder the terms:
-18 + -40j + -8j2 = 0

Solving
-18 + -40j + -8j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(9 + 20j + 4j2) = 0

Factor a trinomial.
-2((9 + 2j)(1 + 2j)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(9 + 2j)' equal to zero and attempt to solve:

Simplifying
9 + 2j = 0

Solving
9 + 2j = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2j = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2j = 0 + -9
2j = 0 + -9

Combine like terms: 0 + -9 = -9
2j = -9

Divide each side by '2'.
j = -4.5

Simplifying
j = -4.5
Subproblem 2
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
Solution
j = {-4.5, -0.5}