(c+3)(c+3)=16

Solution for (c+3)(c+3)=16 equation:

Simplifying
(c + 3)(c + 3) = 16

Reorder the terms:
(3 + c)(c + 3) = 16

Reorder the terms:
(3 + c)(3 + c) = 16

Multiply (3 + c) * (3 + c)
(3(3 + c) + c(3 + c)) = 16
((3 * 3 + c * 3) + c(3 + c)) = 16
((9 + 3c) + c(3 + c)) = 16
(9 + 3c + (3 * c + c * c)) = 16
(9 + 3c + (3c + c2)) = 16

Combine like terms: 3c + 3c = 6c
(9 + 6c + c2) = 16

Solving
9 + 6c + c2 = 16

Solving for variable 'c'.

Reorder the terms:
9 + -16 + 6c + c2 = 16 + -16

Combine like terms: 9 + -16 = -7
-7 + 6c + c2 = 16 + -16

Combine like terms: 16 + -16 = 0
-7 + 6c + c2 = 0

Factor a trinomial.
(-7 + -1c)(1 + -1c) = 0

Subproblem 1
Set the factor '(-7 + -1c)' equal to zero and attempt to solve:

Simplifying
-7 + -1c = 0

Solving
-7 + -1c = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1c = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1c = 0 + 7
-1c = 0 + 7

Combine like terms: 0 + 7 = 7
-1c = 7

Divide each side by '-1'.
c = -7

Simplifying
c = -7
Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1c = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1c = 0 + -1
-1c = 0 + -1

Combine like terms: 0 + -1 = -1
-1c = -1

Divide each side by '-1'.
c = 1

Simplifying
c = 1
Solution
c = {-7, 1}