5j^2-11j+2=0

Solution for 5j^2-11j+2=0 equation:

Simplifying
5j2 + -11j + 2 = 0

Reorder the terms:
2 + -11j + 5j2 = 0

Solving
2 + -11j + 5j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(1 + -5j)(2 + -1j) = 0

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

Simplifying
1 + -5j = 0

Solving
1 + -5j = 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 + -5j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5j = 0 + -1
-5j = 0 + -1

Combine like terms: 0 + -1 = -1
-5j = -1

Divide each side by '-5'.
j = 0.2

Simplifying
j = 0.2
Subproblem 2
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
Solution
j = {0.2, 2}