21b^2=-117b-60

Solution for 21b^2=-117b-60 equation:

Simplifying
21b2 = -117b + -60

Reorder the terms:
21b2 = -60 + -117b

Solving
21b2 = -60 + -117b

Solving for variable 'b'.

Reorder the terms:
60 + 117b + 21b2 = -60 + -117b + 60 + 117b

Reorder the terms:
60 + 117b + 21b2 = -60 + 60 + -117b + 117b

Combine like terms: -60 + 60 = 0
60 + 117b + 21b2 = 0 + -117b + 117b
60 + 117b + 21b2 = -117b + 117b

Combine like terms: -117b + 117b = 0
60 + 117b + 21b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + 39b + 7b2) = 0

Factor a trinomial.
3((5 + b)(4 + 7b)) = 0

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

Simplifying
5 + b = 0

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

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

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

Simplifying
b = -5
Subproblem 2
Set the factor '(4 + 7b)' equal to zero and attempt to solve:

Simplifying
4 + 7b = 0

Solving
4 + 7b = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7b = 0 + -4
7b = 0 + -4

Combine like terms: 0 + -4 = -4
7b = -4

Divide each side by '7'.
b = -0.5714285714

Simplifying
b = -0.5714285714
Solution
b = {-5, -0.5714285714}