c^2+34c+64=0

Solution for c^2+34c+64=0 equation:

Simplifying
c2 + 34c + 64 = 0

Reorder the terms:
64 + 34c + c2 = 0

Solving
64 + 34c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(32 + c)(2 + c) = 0

Subproblem 1
Set the factor '(32 + c)' equal to zero and attempt to solve:

Simplifying
32 + c = 0

Solving
32 + c = 0

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

Add '-32' to each side of the equation.
32 + -32 + c = 0 + -32

Combine like terms: 32 + -32 = 0
0 + c = 0 + -32
c = 0 + -32

Combine like terms: 0 + -32 = -32
c = -32

Simplifying
c = -32
Subproblem 2
Set the factor '(2 + c)' equal to zero and attempt to solve:

Simplifying
2 + c = 0

Solving
2 + c = 0

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

Add '-2' to each side of the equation.
2 + -2 + c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + c = 0 + -2
c = 0 + -2

Combine like terms: 0 + -2 = -2
c = -2

Simplifying
c = -2
Solution
c = {-32, -2}