3j^2-7j=-4

Solution for 3j^2-7j=-4 equation:

Simplifying
3j2 + -7j = -4

Reorder the terms:
-7j + 3j2 = -4

Solving
-7j + 3j2 = -4

Solving for variable 'j'.

Reorder the terms:
4 + -7j + 3j2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -7j + 3j2 = 0

Factor a trinomial.
(1 + -1j)(4 + -3j) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -3j)' equal to zero and attempt to solve:

Simplifying
4 + -3j = 0

Solving
4 + -3j = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3j = 0 + -4

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

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

Divide each side by '-3'.
j = 1.333333333

Simplifying
j = 1.333333333
Solution
j = {1, 1.333333333}