c(b)=b^2-22b

Solution for c(b)=b^2-22b equation:

Simplifying
c(b) = b2 + -22b

Multiply c * b
bc = b2 + -22b

Reorder the terms:
bc = -22b + b2

Solving
bc = -22b + b2

Solving for variable 'b'.

Reorder the terms:
22b + bc + -1b2 = -22b + b2 + 22b + -1b2

Reorder the terms:
22b + bc + -1b2 = -22b + 22b + b2 + -1b2

Combine like terms: -22b + 22b = 0
22b + bc + -1b2 = 0 + b2 + -1b2
22b + bc + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
22b + bc + -1b2 = 0

Factor out the Greatest Common Factor (GCF), 'b'.
b(22 + c + -1b) = 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 '(22 + c + -1b)' equal to zero and attempt to solve:

Simplifying
22 + c + -1b = 0

Reorder the terms:
22 + -1b + c = 0

Solving
22 + -1b + c = 0

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

Add '-22' to each side of the equation.
22 + -1b + -22 + c = 0 + -22

Reorder the terms:
22 + -22 + -1b + c = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1b + c = 0 + -22
-1b + c = 0 + -22

Combine like terms: 0 + -22 = -22
-1b + c = -22

Add '-1c' to each side of the equation.
-1b + c + -1c = -22 + -1c

Combine like terms: c + -1c = 0
-1b + 0 = -22 + -1c
-1b = -22 + -1c

Divide each side by '-1'.
b = 22 + c

Simplifying
b = 22 + c
Solution
b = {0, 22 + c}