3b^2-30b=6b-60

Solution for 3b^2-30b=6b-60 equation:

Simplifying
3b2 + -30b = 6b + -60

Reorder the terms:
-30b + 3b2 = 6b + -60

Reorder the terms:
-30b + 3b2 = -60 + 6b

Solving
-30b + 3b2 = -60 + 6b

Solving for variable 'b'.

Reorder the terms:
60 + -30b + -6b + 3b2 = -60 + 6b + 60 + -6b

Combine like terms: -30b + -6b = -36b
60 + -36b + 3b2 = -60 + 6b + 60 + -6b

Reorder the terms:
60 + -36b + 3b2 = -60 + 60 + 6b + -6b

Combine like terms: -60 + 60 = 0
60 + -36b + 3b2 = 0 + 6b + -6b
60 + -36b + 3b2 = 6b + -6b

Combine like terms: 6b + -6b = 0
60 + -36b + 3b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + -12b + b2) = 0

Factor a trinomial.
3((2 + -1b)(10 + -1b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve:

Simplifying
2 + -1b = 0

Solving
2 + -1b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1b = 0 + -2
-1b = 0 + -2

Combine like terms: 0 + -2 = -2
-1b = -2

Divide each side by '-1'.
b = 2

Simplifying
b = 2
Subproblem 2
Set the factor '(10 + -1b)' equal to zero and attempt to solve:

Simplifying
10 + -1b = 0

Solving
10 + -1b = 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 + -1b = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1b = 0 + -10
-1b = 0 + -10

Combine like terms: 0 + -10 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10
Solution
b = {2, 10}