j^2-9j+14=0

Solution for j^2-9j+14=0 equation:

Simplifying
j2 + -9j + 14 = 0

Reorder the terms:
14 + -9j + j2 = 0

Solving
14 + -9j + j2 = 0

Solving for variable 'j'.

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

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

Simplifying
2 + -1j = 0

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

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

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

Divide each side by '-1'.
j = 2

Simplifying
j = 2
Subproblem 2
Set the factor '(7 + -1j)' equal to zero and attempt to solve:

Simplifying
7 + -1j = 0

Solving
7 + -1j = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1j = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1j = 0 + -7
-1j = 0 + -7

Combine like terms: 0 + -7 = -7
-1j = -7

Divide each side by '-1'.
j = 7

Simplifying
j = 7
Solution
j = {2, 7}