56b^2+b=1

Solution for 56b^2+b=1 equation:

Simplifying
56b2 + b = 1

Reorder the terms:
b + 56b2 = 1

Solving
b + 56b2 = 1

Solving for variable 'b'.

Reorder the terms:
-1 + b + 56b2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + b + 56b2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -8b)' equal to zero and attempt to solve:

Simplifying
1 + -8b = 0

Solving
1 + -8b = 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 + -8b = 0 + -1

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

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

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

Simplifying
b = 0.125
Solution
b = {-0.1428571429, 0.125}