2j^2+31j-16=0

Solution for 2j^2+31j-16=0 equation:

Simplifying
2j2 + 31j + -16 = 0

Reorder the terms:
-16 + 31j + 2j2 = 0

Solving
-16 + 31j + 2j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(-16 + -1j)(1 + -2j) = 0

Subproblem 1
Set the factor '(-16 + -1j)' equal to zero and attempt to solve:

Simplifying
-16 + -1j = 0

Solving
-16 + -1j = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1j = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1j = 0 + 16
-1j = 0 + 16

Combine like terms: 0 + 16 = 16
-1j = 16

Divide each side by '-1'.
j = -16

Simplifying
j = -16
Subproblem 2
Set the factor '(1 + -2j)' equal to zero and attempt to solve:

Simplifying
1 + -2j = 0

Solving
1 + -2j = 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 + -2j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2j = 0 + -1
-2j = 0 + -1

Combine like terms: 0 + -1 = -1
-2j = -1

Divide each side by '-2'.
j = 0.5

Simplifying
j = 0.5
Solution
j = {-16, 0.5}