-4j^2+5j+9=0

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

Simplifying
-4j2 + 5j + 9 = 0

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

Solving
9 + 5j + -4j2 = 0

Solving for variable 'j'.

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

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

Simplifying
9 + -4j = 0

Solving
9 + -4j = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4j = 0 + -9

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

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

Divide each side by '-4'.
j = 2.25

Simplifying
j = 2.25
Subproblem 2
Set the factor '(1 + j)' equal to zero and attempt to solve:

Simplifying
1 + j = 0

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

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

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

Simplifying
j = -1
Solution
j = {2.25, -1}