11b^2-52b-15=

Solution for 11b^2-52b-15= equation:

Simplifying
11b2 + -52b + -15 = 0

Reorder the terms:
-15 + -52b + 11b2 = 0

Solving
-15 + -52b + 11b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -11b)(5 + -1b) = 0

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

Simplifying
-3 + -11b = 0

Solving
-3 + -11b = 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 + -11b = 0 + 3

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

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

Divide each side by '-11'.
b = -0.2727272727

Simplifying
b = -0.2727272727
Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 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 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {-0.2727272727, 5}