(c+1)(c+1)=64

Solution for (c+1)(c+1)=64 equation:

Simplifying
(c + 1)(c + 1) = 64

Reorder the terms:
(1 + c)(c + 1) = 64

Reorder the terms:
(1 + c)(1 + c) = 64

Multiply (1 + c) * (1 + c)
(1(1 + c) + c(1 + c)) = 64
((1 * 1 + c * 1) + c(1 + c)) = 64
((1 + 1c) + c(1 + c)) = 64
(1 + 1c + (1 * c + c * c)) = 64
(1 + 1c + (1c + c2)) = 64

Combine like terms: 1c + 1c = 2c
(1 + 2c + c2) = 64

Solving
1 + 2c + c2 = 64

Solving for variable 'c'.

Reorder the terms:
1 + -64 + 2c + c2 = 64 + -64

Combine like terms: 1 + -64 = -63
-63 + 2c + c2 = 64 + -64

Combine like terms: 64 + -64 = 0
-63 + 2c + c2 = 0

Factor a trinomial.
(-9 + -1c)(7 + -1c) = 0

Subproblem 1
Set the factor '(-9 + -1c)' equal to zero and attempt to solve:

Simplifying
-9 + -1c = 0

Solving
-9 + -1c = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1c = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1c = 0 + 9
-1c = 0 + 9

Combine like terms: 0 + 9 = 9
-1c = 9

Divide each side by '-1'.
c = -9

Simplifying
c = -9
Subproblem 2
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
Solution
c = {-9, 7}