7b^2+34b+40=0

Solution for 7b^2+34b+40=0 equation:

Simplifying
7b2 + 34b + 40 = 0

Reorder the terms:
40 + 34b + 7b2 = 0

Solving
40 + 34b + 7b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(20 + 7b)(2 + b) = 0

Subproblem 1
Set the factor '(20 + 7b)' equal to zero and attempt to solve:

Simplifying
20 + 7b = 0

Solving
20 + 7b = 0

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

Add '-20' to each side of the equation.
20 + -20 + 7b = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 7b = 0 + -20
7b = 0 + -20

Combine like terms: 0 + -20 = -20
7b = -20

Divide each side by '7'.
b = -2.857142857

Simplifying
b = -2.857142857
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Solution
b = {-2.857142857, -2}