3j^2-7j-6=0

Solution for 3j^2-7j-6=0 equation:

Simplifying
3j2 + -7j + -6 = 0

Reorder the terms:
-6 + -7j + 3j2 = 0

Solving
-6 + -7j + 3j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-2 + -3j)(3 + -1j) = 0

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

Simplifying
-2 + -3j = 0

Solving
-2 + -3j = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3j = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3j = 0 + 2
-3j = 0 + 2

Combine like terms: 0 + 2 = 2
-3j = 2

Divide each side by '-3'.
j = -0.6666666667

Simplifying
j = -0.6666666667
Subproblem 2
Set the factor '(3 + -1j)' equal to zero and attempt to solve:

Simplifying
3 + -1j = 0

Solving
3 + -1j = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1j = 0 + -3
-1j = 0 + -3

Combine like terms: 0 + -3 = -3
-1j = -3

Divide each side by '-1'.
j = 3

Simplifying
j = 3
Solution
j = {-0.6666666667, 3}