b^2-5b=-21+5b

Solution for b^2-5b=-21+5b equation:

Simplifying
b2 + -5b = -21 + 5b

Reorder the terms:
-5b + b2 = -21 + 5b

Solving
-5b + b2 = -21 + 5b

Solving for variable 'b'.

Reorder the terms:
21 + -5b + -5b + b2 = -21 + 5b + 21 + -5b

Combine like terms: -5b + -5b = -10b
21 + -10b + b2 = -21 + 5b + 21 + -5b

Reorder the terms:
21 + -10b + b2 = -21 + 21 + 5b + -5b

Combine like terms: -21 + 21 = 0
21 + -10b + b2 = 0 + 5b + -5b
21 + -10b + b2 = 5b + -5b

Combine like terms: 5b + -5b = 0
21 + -10b + b2 = 0

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

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

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Subproblem 2
Set the factor '(7 + -1b)' equal to zero and attempt to solve:

Simplifying
7 + -1b = 0

Solving
7 + -1b = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = 0 + -7
-1b = 0 + -7

Combine like terms: 0 + -7 = -7
-1b = -7

Divide each side by '-1'.
b = 7

Simplifying
b = 7
Solution
b = {3, 7}