(a-25)(a+64)=0

Solution for (a-25)(a+64)=0 equation:

Simplifying
(a + -25)(a + 64) = 0

Reorder the terms:
(-25 + a)(a + 64) = 0

Reorder the terms:
(-25 + a)(64 + a) = 0

Multiply (-25 + a) * (64 + a)
(-25(64 + a) + a(64 + a)) = 0
((64 * -25 + a * -25) + a(64 + a)) = 0
((-1600 + -25a) + a(64 + a)) = 0
(-1600 + -25a + (64 * a + a * a)) = 0
(-1600 + -25a + (64a + a2)) = 0

Combine like terms: -25a + 64a = 39a
(-1600 + 39a + a2) = 0

Solving
-1600 + 39a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-64 + -1a)(25 + -1a) = 0

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

Simplifying
-64 + -1a = 0

Solving
-64 + -1a = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1a = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1a = 0 + 64
-1a = 0 + 64

Combine like terms: 0 + 64 = 64
-1a = 64

Divide each side by '-1'.
a = -64

Simplifying
a = -64
Subproblem 2
Set the factor '(25 + -1a)' equal to zero and attempt to solve:

Simplifying
25 + -1a = 0

Solving
25 + -1a = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1a = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1a = 0 + -25
-1a = 0 + -25

Combine like terms: 0 + -25 = -25
-1a = -25

Divide each side by '-1'.
a = 25

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