42b^2+b-1=0

Solution for 42b^2+b-1=0 equation:

Simplifying
42b2 + b + -1 = 0

Reorder the terms:
-1 + b + 42b2 = 0

Solving
-1 + b + 42b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-1 + -6b)(1 + -7b) = 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 + -7b)' equal to zero and attempt to solve:

Simplifying
1 + -7b = 0

Solving
1 + -7b = 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 + -7b = 0 + -1

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

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

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

Simplifying
b = 0.1428571429
Solution
b = {-0.1666666667, 0.1428571429}