6b^2+95b-16=0

Solution for 6b^2+95b-16=0 equation:

Simplifying
6b2 + 95b + -16 = 0

Reorder the terms:
-16 + 95b + 6b2 = 0

Solving
-16 + 95b + 6b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-16 + -1b)(1 + -6b) = 0

Subproblem 1
Set the factor '(-16 + -1b)' equal to zero and attempt to solve:

Simplifying
-16 + -1b = 0

Solving
-16 + -1b = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1b = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1b = 0 + 16
-1b = 0 + 16

Combine like terms: 0 + 16 = 16
-1b = 16

Divide each side by '-1'.
b = -16

Simplifying
b = -16
Subproblem 2
Set the factor '(1 + -6b)' equal to zero and attempt to solve:

Simplifying
1 + -6b = 0

Solving
1 + -6b = 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 + -6b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6b = 0 + -1
-6b = 0 + -1

Combine like terms: 0 + -1 = -1
-6b = -1

Divide each side by '-6'.
b = 0.1666666667

Simplifying
b = 0.1666666667
Solution
b = {-16, 0.1666666667}