(2a-6)(a+5)=

Solution for (2a-6)(a+5)= equation:

Simplifying
(2a + -6)(a + 5) = 0

Reorder the terms:
(-6 + 2a)(a + 5) = 0

Reorder the terms:
(-6 + 2a)(5 + a) = 0

Multiply (-6 + 2a) * (5 + a)
(-6(5 + a) + 2a * (5 + a)) = 0
((5 * -6 + a * -6) + 2a * (5 + a)) = 0
((-30 + -6a) + 2a * (5 + a)) = 0
(-30 + -6a + (5 * 2a + a * 2a)) = 0
(-30 + -6a + (10a + 2a2)) = 0

Combine like terms: -6a + 10a = 4a
(-30 + 4a + 2a2) = 0

Solving
-30 + 4a + 2a2 = 0

Solving for variable 'a'.

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

Factor a trinomial.
2((-5 + -1a)(3 + -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 '(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
Solution
a = {-5, 3}