2j^2+9j+10=0

Solution for 2j^2+9j+10=0 equation:

Simplifying
2j2 + 9j + 10 = 0

Reorder the terms:
10 + 9j + 2j2 = 0

Solving
10 + 9j + 2j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(5 + 2j)(2 + j) = 0

Subproblem 1
Set the factor '(5 + 2j)' equal to zero and attempt to solve:

Simplifying
5 + 2j = 0

Solving
5 + 2j = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2j = 0 + -5
2j = 0 + -5

Combine like terms: 0 + -5 = -5
2j = -5

Divide each side by '2'.
j = -2.5

Simplifying
j = -2.5
Subproblem 2
Set the factor '(2 + j)' equal to zero and attempt to solve:

Simplifying
2 + j = 0

Solving
2 + j = 0

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

Add '-2' to each side of the equation.
2 + -2 + j = 0 + -2

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

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

Simplifying
j = -2
Solution
j = {-2.5, -2}