(c+5)(c+10)=

Solution for (c+5)(c+10)= equation:

Simplifying
(c + 5)(c + 10) = 0

Reorder the terms:
(5 + c)(c + 10) = 0

Reorder the terms:
(5 + c)(10 + c) = 0

Multiply (5 + c) * (10 + c)
(5(10 + c) + c(10 + c)) = 0
((10 * 5 + c * 5) + c(10 + c)) = 0
((50 + 5c) + c(10 + c)) = 0
(50 + 5c + (10 * c + c * c)) = 0
(50 + 5c + (10c + c2)) = 0

Combine like terms: 5c + 10c = 15c
(50 + 15c + c2) = 0

Solving
50 + 15c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(10 + c)(5 + c) = 0

Subproblem 1
Set the factor '(10 + c)' equal to zero and attempt to solve:

Simplifying
10 + c = 0

Solving
10 + c = 0

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

Add '-10' to each side of the equation.
10 + -10 + c = 0 + -10

Combine like terms: 10 + -10 = 0
0 + c = 0 + -10
c = 0 + -10

Combine like terms: 0 + -10 = -10
c = -10

Simplifying
c = -10
Subproblem 2
Set the factor '(5 + c)' equal to zero and attempt to solve:

Simplifying
5 + c = 0

Solving
5 + c = 0

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

Add '-5' to each side of the equation.
5 + -5 + c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + c = 0 + -5
c = 0 + -5

Combine like terms: 0 + -5 = -5
c = -5

Simplifying
c = -5
Solution
c = {-10, -5}