(r+25)(r+64)=0

Solution for (r+25)(r+64)=0 equation:

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

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

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

Multiply (25 + r) * (64 + r)
(25(64 + r) + r(64 + r)) = 0
((64 * 25 + r * 25) + r(64 + r)) = 0
((1600 + 25r) + r(64 + r)) = 0
(1600 + 25r + (64 * r + r * r)) = 0
(1600 + 25r + (64r + r2)) = 0

Combine like terms: 25r + 64r = 89r
(1600 + 89r + r2) = 0

Solving
1600 + 89r + r2 = 0

Solving for variable 'r'.

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

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

Simplifying
64 + r = 0

Solving
64 + r = 0

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

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

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

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

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

Simplifying
25 + r = 0

Solving
25 + r = 0

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

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

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

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

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