6b^2+17b+6=-1

Solution for 6b^2+17b+6=-1 equation:

Simplifying
6b2 + 17b + 6 = -1

Reorder the terms:
6 + 17b + 6b2 = -1

Solving
6 + 17b + 6b2 = -1

Solving for variable 'b'.

Reorder the terms:
6 + 1 + 17b + 6b2 = -1 + 1

Combine like terms: 6 + 1 = 7
7 + 17b + 6b2 = -1 + 1

Combine like terms: -1 + 1 = 0
7 + 17b + 6b2 = 0

Factor a trinomial.
(7 + 3b)(1 + 2b) = 0

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

Simplifying
7 + 3b = 0

Solving
7 + 3b = 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 + 3b = 0 + -7

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

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

Divide each side by '3'.
b = -2.333333333

Simplifying
b = -2.333333333
Subproblem 2
Set the factor '(1 + 2b)' equal to zero and attempt to solve:

Simplifying
1 + 2b = 0

Solving
1 + 2b = 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 + 2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2b = 0 + -1
2b = 0 + -1

Combine like terms: 0 + -1 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5
Solution
b = {-2.333333333, -0.5}