14j^2+91j+77=0

Solution for 14j^2+91j+77=0 equation:

Simplifying
14j2 + 91j + 77 = 0

Reorder the terms:
77 + 91j + 14j2 = 0

Solving
77 + 91j + 14j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '7'.
7(11 + 13j + 2j2) = 0

Factor a trinomial.
7((11 + 2j)(1 + j)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(11 + 2j)' equal to zero and attempt to solve:

Simplifying
11 + 2j = 0

Solving
11 + 2j = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2j = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2j = 0 + -11
2j = 0 + -11

Combine like terms: 0 + -11 = -11
2j = -11

Divide each side by '2'.
j = -5.5

Simplifying
j = -5.5
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 = {-5.5, -1}