(a-8)(a+5)=

Solution for (a-8)(a+5)= equation:

Simplifying
(a + -8)(a + 5) = 0

Reorder the terms:
(-8 + a)(a + 5) = 0

Reorder the terms:
(-8 + a)(5 + a) = 0

Multiply (-8 + a) * (5 + a)
(-8(5 + a) + a(5 + a)) = 0
((5 * -8 + a * -8) + a(5 + a)) = 0
((-40 + -8a) + a(5 + a)) = 0
(-40 + -8a + (5 * a + a * a)) = 0
(-40 + -8a + (5a + a2)) = 0

Combine like terms: -8a + 5a = -3a
(-40 + -3a + a2) = 0

Solving
-40 + -3a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -1a)(8 + -1a) = 0

Subproblem 1
Set the factor '(-5 + -1a)' equal to zero and attempt to solve:

Simplifying
-5 + -1a = 0

Solving
-5 + -1a = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1a = 0 + 5
-1a = 0 + 5

Combine like terms: 0 + 5 = 5
-1a = 5

Divide each side by '-1'.
a = -5

Simplifying
a = -5
Subproblem 2
Set the factor '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8
Solution
a = {-5, 8}