6b^2+17b+10=0

Solution for 6b^2+17b+10=0 equation:

Simplifying
6b2 + 17b + 10 = 0

Reorder the terms:
10 + 17b + 6b2 = 0

Solving
10 + 17b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2 + b)(5 + 6b) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + 6b)' equal to zero and attempt to solve:

Simplifying
5 + 6b = 0

Solving
5 + 6b = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6b = 0 + -5
6b = 0 + -5

Combine like terms: 0 + -5 = -5
6b = -5

Divide each side by '6'.
b = -0.8333333333

Simplifying
b = -0.8333333333
Solution
b = {-2, -0.8333333333}