6b^2-7b+1=0

Solution for 6b^2-7b+1=0 equation:

Simplifying
6b2 + -7b + 1 = 0

Reorder the terms:
1 + -7b + 6b2 = 0

Solving
1 + -7b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + -6b)(1 + -1b) = 0

Subproblem 1
Set the factor '(1 + -6b)' equal to zero and attempt to solve:

Simplifying
1 + -6b = 0

Solving
1 + -6b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6b = 0 + -1
-6b = 0 + -1

Combine like terms: 0 + -1 = -1
-6b = -1

Divide each side by '-6'.
b = 0.1666666667

Simplifying
b = 0.1666666667
Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1b = 0 + -1
-1b = 0 + -1

Combine like terms: 0 + -1 = -1
-1b = -1

Divide each side by '-1'.
b = 1

Simplifying
b = 1
Solution
b = {0.1666666667, 1}