-3j^2-15j=-18

Solution for -3j^2-15j=-18 equation:

Simplifying
-3j2 + -15j = -18

Reorder the terms:
-15j + -3j2 = -18

Solving
-15j + -3j2 = -18

Solving for variable 'j'.

Reorder the terms:
18 + -15j + -3j2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -15j + -3j2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -5j + -1j2) = 0

Factor a trinomial.
3((1 + -1j)(6 + j)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + j)' equal to zero and attempt to solve:

Simplifying
6 + j = 0

Solving
6 + j = 0

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

Add '-6' to each side of the equation.
6 + -6 + j = 0 + -6

Combine like terms: 6 + -6 = 0
0 + j = 0 + -6
j = 0 + -6

Combine like terms: 0 + -6 = -6
j = -6

Simplifying
j = -6
Solution
j = {1, -6}