(a-5)and(a+3)=

Solution for (a-5)and(a+3)= equation:

Simplifying
(a + -5) * and(a + 3) = 0

Reorder the terms:
(-5 + a) * and(a + 3) = 0

Reorder the terms:
(-5 + a) * adn(3 + a) = 0

Reorder the terms for easier multiplication:
adn(-5 + a)(3 + a) = 0

Multiply (-5 + a) * (3 + a)
adn(-5(3 + a) + a(3 + a)) = 0
adn((3 * -5 + a * -5) + a(3 + a)) = 0
adn((-15 + -5a) + a(3 + a)) = 0
adn(-15 + -5a + (3 * a + a * a)) = 0
adn(-15 + -5a + (3a + a2)) = 0

Combine like terms: -5a + 3a = -2a
adn(-15 + -2a + a2) = 0
(-15 * adn + -2a * adn + a2 * adn) = 0
(-15adn + -2a2dn + a3dn) = 0

Solving
-15adn + -2a2dn + a3dn = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'adn'.
adn(-15 + -2a + a2) = 0

Factor a trinomial.
adn((-3 + -1a)(5 + -1a)) = 0

Subproblem 1
Set the factor 'adn' equal to zero and attempt to solve:

Simplifying
adn = 0

Solving
adn = 0

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

Simplifying
adn = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-3 + -1a)' equal to zero and attempt to solve:

Simplifying
-3 + -1a = 0

Solving
-3 + -1a = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1a = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1a = 0 + 3
-1a = 0 + 3

Combine like terms: 0 + 3 = 3
-1a = 3

Divide each side by '-1'.
a = -3

Simplifying
a = -3
Subproblem 3
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
Solution
a = {-3, 5}