3b^2-7b-136=0

Solution for 3b^2-7b-136=0 equation:

Simplifying
3b2 + -7b + -136 = 0

Reorder the terms:
-136 + -7b + 3b2 = 0

Solving
-136 + -7b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-17 + -3b)(8 + -1b) = 0

Subproblem 1
Set the factor '(-17 + -3b)' equal to zero and attempt to solve:

Simplifying
-17 + -3b = 0

Solving
-17 + -3b = 0

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

Add '17' to each side of the equation.
-17 + 17 + -3b = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -3b = 0 + 17
-3b = 0 + 17

Combine like terms: 0 + 17 = 17
-3b = 17

Divide each side by '-3'.
b = -5.666666667

Simplifying
b = -5.666666667
Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve:

Simplifying
8 + -1b = 0

Solving
8 + -1b = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1b = 0 + -8
-1b = 0 + -8

Combine like terms: 0 + -8 = -8
-1b = -8

Divide each side by '-1'.
b = 8

Simplifying
b = 8
Solution
b = {-5.666666667, 8}