-48j=-9j^2-39

Solution for -48j=-9j^2-39 equation:

Simplifying
-48j = -9j2 + -39

Reorder the terms:
-48j = -39 + -9j2

Solving
-48j = -39 + -9j2

Solving for variable 'j'.

Reorder the terms:
39 + -48j + 9j2 = -39 + -9j2 + 39 + 9j2

Reorder the terms:
39 + -48j + 9j2 = -39 + 39 + -9j2 + 9j2

Combine like terms: -39 + 39 = 0
39 + -48j + 9j2 = 0 + -9j2 + 9j2
39 + -48j + 9j2 = -9j2 + 9j2

Combine like terms: -9j2 + 9j2 = 0
39 + -48j + 9j2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(13 + -16j + 3j2) = 0

Factor a trinomial.
3((1 + -1j)(13 + -3j)) = 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 '(13 + -3j)' equal to zero and attempt to solve:

Simplifying
13 + -3j = 0

Solving
13 + -3j = 0

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

Add '-13' to each side of the equation.
13 + -13 + -3j = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3j = 0 + -13
-3j = 0 + -13

Combine like terms: 0 + -13 = -13
-3j = -13

Divide each side by '-3'.
j = 4.333333333

Simplifying
j = 4.333333333
Solution
j = {1, 4.333333333}