(3c+5)(c+3)=

Solution for (3c+5)(c+3)= equation:

Simplifying
(3c + 5)(c + 3) = 0

Reorder the terms:
(5 + 3c)(c + 3) = 0

Reorder the terms:
(5 + 3c)(3 + c) = 0

Multiply (5 + 3c) * (3 + c)
(5(3 + c) + 3c * (3 + c)) = 0
((3 * 5 + c * 5) + 3c * (3 + c)) = 0
((15 + 5c) + 3c * (3 + c)) = 0
(15 + 5c + (3 * 3c + c * 3c)) = 0
(15 + 5c + (9c + 3c2)) = 0

Combine like terms: 5c + 9c = 14c
(15 + 14c + 3c2) = 0

Solving
15 + 14c + 3c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(3 + c)(5 + 3c) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + 3c)' equal to zero and attempt to solve:

Simplifying
5 + 3c = 0

Solving
5 + 3c = 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 + 3c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3c = 0 + -5
3c = 0 + -5

Combine like terms: 0 + -5 = -5
3c = -5

Divide each side by '3'.
c = -1.666666667

Simplifying
c = -1.666666667
Solution
c = {-3, -1.666666667}