7b^2+57b+56=0

Solution for 7b^2+57b+56=0 equation:

Simplifying
7b2 + 57b + 56 = 0

Reorder the terms:
56 + 57b + 7b2 = 0

Solving
56 + 57b + 7b2 = 0

Solving for variable 'b'.

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

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

Simplifying
7 + b = 0

Solving
7 + b = 0

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

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

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

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

Simplifying
b = -7
Subproblem 2
Set the factor '(8 + 7b)' equal to zero and attempt to solve:

Simplifying
8 + 7b = 0

Solving
8 + 7b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7b = 0 + -8
7b = 0 + -8

Combine like terms: 0 + -8 = -8
7b = -8

Divide each side by '7'.
b = -1.142857143

Simplifying
b = -1.142857143
Solution
b = {-7, -1.142857143}