12b^2+17b+5=

Solution for 12b^2+17b+5= equation:

Simplifying
12b2 + 17b + 5 = 0

Reorder the terms:
5 + 17b + 12b2 = 0

Solving
5 + 17b + 12b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(1 + b)(5 + 12b) = 0

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

Simplifying
1 + b = 0

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

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

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

Simplifying
b = -1
Subproblem 2
Set the factor '(5 + 12b)' equal to zero and attempt to solve:

Simplifying
5 + 12b = 0

Solving
5 + 12b = 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 + 12b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 12b = 0 + -5
12b = 0 + -5

Combine like terms: 0 + -5 = -5
12b = -5

Divide each side by '12'.
b = -0.4166666667

Simplifying
b = -0.4166666667
Solution
b = {-1, -0.4166666667}