9j^2-5j-4=0

Solution for 9j^2-5j-4=0 equation:

Simplifying
9j2 + -5j + -4 = 0

Reorder the terms:
-4 + -5j + 9j2 = 0

Solving
-4 + -5j + 9j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-4 + -9j)(1 + -1j) = 0

Subproblem 1
Set the factor '(-4 + -9j)' equal to zero and attempt to solve:

Simplifying
-4 + -9j = 0

Solving
-4 + -9j = 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 + -9j = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9j = 0 + 4
-9j = 0 + 4

Combine like terms: 0 + 4 = 4
-9j = 4

Divide each side by '-9'.
j = -0.4444444444

Simplifying
j = -0.4444444444
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 = {-0.4444444444, 1}