(a-8)(2a+10)=

Solution for (a-8)(2a+10)= equation:

Simplifying
(a + -8)(2a + 10) = 0

Reorder the terms:
(-8 + a)(2a + 10) = 0

Reorder the terms:
(-8 + a)(10 + 2a) = 0

Multiply (-8 + a) * (10 + 2a)
(-8(10 + 2a) + a(10 + 2a)) = 0
((10 * -8 + 2a * -8) + a(10 + 2a)) = 0
((-80 + -16a) + a(10 + 2a)) = 0
(-80 + -16a + (10 * a + 2a * a)) = 0
(-80 + -16a + (10a + 2a2)) = 0

Combine like terms: -16a + 10a = -6a
(-80 + -6a + 2a2) = 0

Solving
-80 + -6a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -3a + a2) = 0

Factor a trinomial.
2((-5 + -1a)(8 + -1a)) = 0

Ignore the factor 2.
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}