56b^2+31b+3=0

Solution for 56b^2+31b+3=0 equation:

Simplifying
56b2 + 31b + 3 = 0

Reorder the terms:
3 + 31b + 56b2 = 0

Solving
3 + 31b + 56b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + 7b)(1 + 8b) = 0

Subproblem 1
Set the factor '(3 + 7b)' equal to zero and attempt to solve:

Simplifying
3 + 7b = 0

Solving
3 + 7b = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7b = 0 + -3
7b = 0 + -3

Combine like terms: 0 + -3 = -3
7b = -3

Divide each side by '7'.
b = -0.4285714286

Simplifying
b = -0.4285714286
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 = {-0.4285714286, -0.125}