(3j^4+5)-(8j^3+5)-(6j^4+5j^3)=0

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Solution for (3j^4+5)-(8j^3+5)-(6j^4+5j^3)=0 equation: 


Simplifying
(3j4 + 5) + -1(8j3 + 5) + -1(6j4 + 5j3) = 0

Reorder the terms:
(5 + 3j4) + -1(8j3 + 5) + -1(6j4 + 5j3) = 0

Remove parenthesis around (5 + 3j4)
5 + 3j4 + -1(8j3 + 5) + -1(6j4 + 5j3) = 0

Reorder the terms:
5 + 3j4 + -1(5 + 8j3) + -1(6j4 + 5j3) = 0
5 + 3j4 + (5 * -1 + 8j3 * -1) + -1(6j4 + 5j3) = 0
5 + 3j4 + (-5 + -8j3) + -1(6j4 + 5j3) = 0

Reorder the terms:
5 + 3j4 + -5 + -8j3 + -1(5j3 + 6j4) = 0
5 + 3j4 + -5 + -8j3 + (5j3 * -1 + 6j4 * -1) = 0
5 + 3j4 + -5 + -8j3 + (-5j3 + -6j4) = 0

Reorder the terms:
5 + -5 + -8j3 + -5j3 + 3j4 + -6j4 = 0

Combine like terms: 5 + -5 = 0
0 + -8j3 + -5j3 + 3j4 + -6j4 = 0
-8j3 + -5j3 + 3j4 + -6j4 = 0

Combine like terms: -8j3 + -5j3 = -13j3
-13j3 + 3j4 + -6j4 = 0

Combine like terms: 3j4 + -6j4 = -3j4
-13j3 + -3j4 = 0

Solving
-13j3 + -3j4 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '-1j3'.
-1j3(13 + 3j) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'j3' equal to zero and attempt to solve:

Simplifying
j3 = 0

Solving
j3 = 0

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

Simplifying
j3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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 = {-4.333333333}

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