3b(7b-20)=96

Solution for 3b(7b-20)=96 equation:

Simplifying
3b(7b + -20) = 96

Reorder the terms:
3b(-20 + 7b) = 96
(-20 * 3b + 7b * 3b) = 96
(-60b + 21b2) = 96

Solving
-60b + 21b2 = 96

Solving for variable 'b'.

Reorder the terms:
-96 + -60b + 21b2 = 96 + -96

Combine like terms: 96 + -96 = 0
-96 + -60b + 21b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-32 + -20b + 7b2) = 0

Factor a trinomial.
3((-8 + -7b)(4 + -1b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-8 + -7b)' equal to zero and attempt to solve:

Simplifying
-8 + -7b = 0

Solving
-8 + -7b = 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 + -7b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7b = 0 + 8
-7b = 0 + 8

Combine like terms: 0 + 8 = 8
-7b = 8

Divide each side by '-7'.
b = -1.142857143

Simplifying
b = -1.142857143
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-1.142857143, 4}