5*j^10=-6*j

Solution for 5*j^10=-6*j equation:

Simplifying
5j10 = -6j

Solving
5j10 = -6j

Solving for variable 'j'.

Reorder the terms:
6j + 5j10 = -6j + 6j

Combine like terms: -6j + 6j = 0
6j + 5j10 = 0

Factor out the Greatest Common Factor (GCF), 'j'.
j(6 + 5j9) = 0

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 '(6 + 5j9)' equal to zero and attempt to solve:

Simplifying
6 + 5j9 = 0

Solving
6 + 5j9 = 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 + 5j9 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5j9 = 0 + -6
5j9 = 0 + -6

Combine like terms: 0 + -6 = -6
5j9 = -6

Divide each side by '5'.
j9 = -1.2

Simplifying
j9 = -1.2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
j = {0}