6b^2+25b+21=

Solution for 6b^2+25b+21= equation:

Simplifying
6b2 + 25b + 21 = 0

Reorder the terms:
21 + 25b + 6b2 = 0

Solving
21 + 25b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + b)(7 + 6b) = 0

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

Simplifying
3 + b = 0

Solving
3 + b = 0

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

Add '-3' to each side of the equation.
3 + -3 + b = 0 + -3

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

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

Simplifying
b = -3
Subproblem 2
Set the factor '(7 + 6b)' equal to zero and attempt to solve:

Simplifying
7 + 6b = 0

Solving
7 + 6b = 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 + 6b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6b = 0 + -7
6b = 0 + -7

Combine like terms: 0 + -7 = -7
6b = -7

Divide each side by '6'.
b = -1.166666667

Simplifying
b = -1.166666667
Solution
b = {-3, -1.166666667}