10j^4-7j^2-6=0

Solution for 10j^4-7j^2-6=0 equation:

Simplifying
10j4 + -7j2 + -6 = 0

Reorder the terms:
-6 + -7j2 + 10j4 = 0

Solving
-6 + -7j2 + 10j4 = 0

Solving for variable 'j'.

Factor a trinomial.
(-1 + -2j2)(6 + -5j2) = 0

Subproblem 1
Set the factor '(-1 + -2j2)' equal to zero and attempt to solve:

Simplifying
-1 + -2j2 = 0

Solving
-1 + -2j2 = 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 + -2j2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2j2 = 0 + 1
-2j2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2j2 = 1

Divide each side by '-2'.
j2 = -0.5

Simplifying
j2 = -0.5

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 '(6 + -5j2)' equal to zero and attempt to solve:

Simplifying
6 + -5j2 = 0

Solving
6 + -5j2 = 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 + -5j2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5j2 = 0 + -6
-5j2 = 0 + -6

Combine like terms: 0 + -6 = -6
-5j2 = -6

Divide each side by '-5'.
j2 = 1.2

Simplifying
j2 = 1.2

Take the square root of each side:
j = {-1.095445115, 1.095445115}
Solution
j = {-1.095445115, 1.095445115}