3j^2-4j=-1

Solution for 3j^2-4j=-1 equation:

Simplifying
3j2 + -4j = -1

Reorder the terms:
-4j + 3j2 = -1

Solving
-4j + 3j2 = -1

Solving for variable 'j'.

Reorder the terms:
1 + -4j + 3j2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -4j + 3j2 = 0

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

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

Simplifying
1 + -1j = 0

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

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

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

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

Simplifying
j = 1
Solution
j = {0.3333333333, 1}