2j^2+46j+44=0

Solution for 2j^2+46j+44=0 equation:

Simplifying
2j2 + 46j + 44 = 0

Reorder the terms:
44 + 46j + 2j2 = 0

Solving
44 + 46j + 2j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + 23j + j2) = 0

Factor a trinomial.
2((22 + j)(1 + j)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(22 + j)' equal to zero and attempt to solve:

Simplifying
22 + j = 0

Solving
22 + j = 0

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

Add '-22' to each side of the equation.
22 + -22 + j = 0 + -22

Combine like terms: 22 + -22 = 0
0 + j = 0 + -22
j = 0 + -22

Combine like terms: 0 + -22 = -22
j = -22

Simplifying
j = -22
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 = {-22, -1}