(c+4)(c+10)=0

Solution for (c+4)(c+10)=0 equation:

Simplifying
(c + 4)(c + 10) = 0

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

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

Multiply (4 + c) * (10 + c)
(4(10 + c) + c(10 + c)) = 0
((10 * 4 + c * 4) + c(10 + c)) = 0
((40 + 4c) + c(10 + c)) = 0
(40 + 4c + (10 * c + c * c)) = 0
(40 + 4c + (10c + c2)) = 0

Combine like terms: 4c + 10c = 14c
(40 + 14c + c2) = 0

Solving
40 + 14c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(10 + c)(4 + 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 '(4 + c)' equal to zero and attempt to solve:

Simplifying
4 + c = 0

Solving
4 + c = 0

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

Add '-4' to each side of the equation.
4 + -4 + c = 0 + -4

Combine like terms: 4 + -4 = 0
0 + c = 0 + -4
c = 0 + -4

Combine like terms: 0 + -4 = -4
c = -4

Simplifying
c = -4
Solution
c = {-10, -4}