7b-3b(b-1)=

Solution for 7b-3b(b-1)= equation:

Simplifying
7b + -3b(b + -1) = 0

Reorder the terms:
7b + -3b(-1 + b) = 0
7b + (-1 * -3b + b * -3b) = 0
7b + (3b + -3b2) = 0

Combine like terms: 7b + 3b = 10b
10b + -3b2 = 0

Solving
10b + -3b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(10 + -3b) = 0

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(10 + -3b)' equal to zero and attempt to solve:

Simplifying
10 + -3b = 0

Solving
10 + -3b = 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 + -3b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3b = 0 + -10
-3b = 0 + -10

Combine like terms: 0 + -10 = -10
-3b = -10

Divide each side by '-3'.
b = 3.333333333

Simplifying
b = 3.333333333
Solution
b = {0, 3.333333333}