25b+11=-6b^2

Solution for 25b+11=-6b^2 equation:

Simplifying
25b + 11 = -6b2

Reorder the terms:
11 + 25b = -6b2

Solving
11 + 25b = -6b2

Solving for variable 'b'.

Combine like terms: -6b2 + 6b2 = 0
11 + 25b + 6b2 = 0

Factor a trinomial.
(11 + 3b)(1 + 2b) = 0

Subproblem 1
Set the factor '(11 + 3b)' equal to zero and attempt to solve:

Simplifying
11 + 3b = 0

Solving
11 + 3b = 0

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

Add '-11' to each side of the equation.
11 + -11 + 3b = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3b = 0 + -11
3b = 0 + -11

Combine like terms: 0 + -11 = -11
3b = -11

Divide each side by '3'.
b = -3.666666667

Simplifying
b = -3.666666667
Subproblem 2
Set the factor '(1 + 2b)' equal to zero and attempt to solve:

Simplifying
1 + 2b = 0

Solving
1 + 2b = 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 + 2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2b = 0 + -1
2b = 0 + -1

Combine like terms: 0 + -1 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5
Solution
b = {-3.666666667, -0.5}