12b^2+35b+21=-4

Solution for 12b^2+35b+21=-4 equation:

Simplifying
12b2 + 35b + 21 = -4

Reorder the terms:
21 + 35b + 12b2 = -4

Solving
21 + 35b + 12b2 = -4

Solving for variable 'b'.

Reorder the terms:
21 + 4 + 35b + 12b2 = -4 + 4

Combine like terms: 21 + 4 = 25
25 + 35b + 12b2 = -4 + 4

Combine like terms: -4 + 4 = 0
25 + 35b + 12b2 = 0

Factor a trinomial.
(5 + 3b)(5 + 4b) = 0

Subproblem 1
Set the factor '(5 + 3b)' equal to zero and attempt to solve:

Simplifying
5 + 3b = 0

Solving
5 + 3b = 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 + 3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3b = 0 + -5
3b = 0 + -5

Combine like terms: 0 + -5 = -5
3b = -5

Divide each side by '3'.
b = -1.666666667

Simplifying
b = -1.666666667
Subproblem 2
Set the factor '(5 + 4b)' equal to zero and attempt to solve:

Simplifying
5 + 4b = 0

Solving
5 + 4b = 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 + 4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4b = 0 + -5
4b = 0 + -5

Combine like terms: 0 + -5 = -5
4b = -5

Divide each side by '4'.
b = -1.25

Simplifying
b = -1.25
Solution
b = {-1.666666667, -1.25}