(C+5)(c+2)=40

Solution for (C+5)(c+2)=40 equation:

Simplifying
(C + 5)(c + 2) = 40

Reorder the terms:
(5 + C)(c + 2) = 40

Reorder the terms:
(5 + C)(2 + c) = 40

Multiply (5 + C) * (2 + c)
(5(2 + c) + C(2 + c)) = 40
((2 * 5 + c * 5) + C(2 + c)) = 40
((10 + 5c) + C(2 + c)) = 40
(10 + 5c + (2 * C + c * C)) = 40
(10 + 5c + (2C + cC)) = 40

Reorder the terms:
(10 + 2C + 5c + cC) = 40
(10 + 2C + 5c + cC) = 40

Solving
10 + 2C + 5c + cC = 40

Solving for variable 'C'.

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

Add '-10' to each side of the equation.
10 + 2C + 5c + -10 + cC = 40 + -10

Reorder the terms:
10 + -10 + 2C + 5c + cC = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 2C + 5c + cC = 40 + -10
2C + 5c + cC = 40 + -10

Combine like terms: 40 + -10 = 30
2C + 5c + cC = 30

Add '-5c' to each side of the equation.
2C + 5c + -5c + cC = 30 + -5c

Combine like terms: 5c + -5c = 0
2C + 0 + cC = 30 + -5c
2C + cC = 30 + -5c

Reorder the terms:
-30 + 2C + 5c + cC = 30 + -5c + -30 + 5c

Reorder the terms:
-30 + 2C + 5c + cC = 30 + -30 + -5c + 5c

Combine like terms: 30 + -30 = 0
-30 + 2C + 5c + cC = 0 + -5c + 5c
-30 + 2C + 5c + cC = -5c + 5c

Combine like terms: -5c + 5c = 0
-30 + 2C + 5c + cC = 0

The solution to this equation could not be determined.