-3j^2+7j-2=0

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

Simplifying
-3j2 + 7j + -2 = 0

Reorder the terms:
-2 + 7j + -3j2 = 0

Solving
-2 + 7j + -3j2 = 0

Solving for variable 'j'.

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

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

Simplifying
-2 + j = 0

Solving
-2 + j = 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 + j = 0 + 2

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

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

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

Simplifying
1 + -3j = 0

Solving
1 + -3j = 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 + -3j = 0 + -1

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

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

Divide each side by '-3'.
j = 0.3333333333

Simplifying
j = 0.3333333333
Solution
j = {2, 0.3333333333}