7b^2-32b-60=0

Solution for 7b^2-32b-60=0 equation:

Simplifying
7b2 + -32b + -60 = 0

Reorder the terms:
-60 + -32b + 7b2 = 0

Solving
-60 + -32b + 7b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-10 + -7b)(6 + -1b) = 0

Subproblem 1
Set the factor '(-10 + -7b)' equal to zero and attempt to solve:

Simplifying
-10 + -7b = 0

Solving
-10 + -7b = 0

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

Add '10' to each side of the equation.
-10 + 10 + -7b = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -7b = 0 + 10
-7b = 0 + 10

Combine like terms: 0 + 10 = 10
-7b = 10

Divide each side by '-7'.
b = -1.428571429

Simplifying
b = -1.428571429
Subproblem 2
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1b = 0 + -6

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

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

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Solution
b = {-1.428571429, 6}