56j^2-15j+1=0

Solution for 56j^2-15j+1=0 equation:

Simplifying
56j2 + -15j + 1 = 0

Reorder the terms:
1 + -15j + 56j2 = 0

Solving
1 + -15j + 56j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(1 + -8j)(1 + -7j) = 0

Subproblem 1
Set the factor '(1 + -8j)' equal to zero and attempt to solve:

Simplifying
1 + -8j = 0

Solving
1 + -8j = 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 + -8j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8j = 0 + -1
-8j = 0 + -1

Combine like terms: 0 + -1 = -1
-8j = -1

Divide each side by '-8'.
j = 0.125

Simplifying
j = 0.125
Subproblem 2
Set the factor '(1 + -7j)' equal to zero and attempt to solve:

Simplifying
1 + -7j = 0

Solving
1 + -7j = 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 + -7j = 0 + -1

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

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

Divide each side by '-7'.
j = 0.1428571429

Simplifying
j = 0.1428571429
Solution
j = {0.125, 0.1428571429}