(c+3)(3c+10)=0

Solution for (c+3)(3c+10)=0 equation:

Simplifying
(c + 3)(3c + 10) = 0

Reorder the terms:
(3 + c)(3c + 10) = 0

Reorder the terms:
(3 + c)(10 + 3c) = 0

Multiply (3 + c) * (10 + 3c)
(3(10 + 3c) + c(10 + 3c)) = 0
((10 * 3 + 3c * 3) + c(10 + 3c)) = 0
((30 + 9c) + c(10 + 3c)) = 0
(30 + 9c + (10 * c + 3c * c)) = 0
(30 + 9c + (10c + 3c2)) = 0

Combine like terms: 9c + 10c = 19c
(30 + 19c + 3c2) = 0

Solving
30 + 19c + 3c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(10 + 3c)(3 + c) = 0

Subproblem 1
Set the factor '(10 + 3c)' equal to zero and attempt to solve:

Simplifying
10 + 3c = 0

Solving
10 + 3c = 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 + 3c = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3c = 0 + -10
3c = 0 + -10

Combine like terms: 0 + -10 = -10
3c = -10

Divide each side by '3'.
c = -3.333333333

Simplifying
c = -3.333333333
Subproblem 2
Set the factor '(3 + c)' equal to zero and attempt to solve:

Simplifying
3 + c = 0

Solving
3 + c = 0

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

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

Combine like terms: 3 + -3 = 0
0 + c = 0 + -3
c = 0 + -3

Combine like terms: 0 + -3 = -3
c = -3

Simplifying
c = -3
Solution
c = {-3.333333333, -3}