(c+25)(c+64)=

Solution for (c+25)(c+64)= equation:

Simplifying
(c + 25)(c + 64) = 0

Reorder the terms:
(25 + c)(c + 64) = 0

Reorder the terms:
(25 + c)(64 + c) = 0

Multiply (25 + c) * (64 + c)
(25(64 + c) + c(64 + c)) = 0
((64 * 25 + c * 25) + c(64 + c)) = 0
((1600 + 25c) + c(64 + c)) = 0
(1600 + 25c + (64 * c + c * c)) = 0
(1600 + 25c + (64c + c2)) = 0

Combine like terms: 25c + 64c = 89c
(1600 + 89c + c2) = 0

Solving
1600 + 89c + c2 = 0

Solving for variable 'c'.

Factor a trinomial.
(64 + c)(25 + c) = 0

Subproblem 1
Set the factor '(64 + c)' equal to zero and attempt to solve:

Simplifying
64 + c = 0

Solving
64 + c = 0

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

Add '-64' to each side of the equation.
64 + -64 + c = 0 + -64

Combine like terms: 64 + -64 = 0
0 + c = 0 + -64
c = 0 + -64

Combine like terms: 0 + -64 = -64
c = -64

Simplifying
c = -64
Subproblem 2
Set the factor '(25 + c)' equal to zero and attempt to solve:

Simplifying
25 + c = 0

Solving
25 + c = 0

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

Add '-25' to each side of the equation.
25 + -25 + c = 0 + -25

Combine like terms: 25 + -25 = 0
0 + c = 0 + -25
c = 0 + -25

Combine like terms: 0 + -25 = -25
c = -25

Simplifying
c = -25
Solution
c = {-64, -25}