(a+4)(a-6)=

Solution for (a+4)(a-6)= equation:

Simplifying
(a + 4)(a + -6) = 0

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

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

Multiply (4 + a) * (-6 + a)
(4(-6 + a) + a(-6 + a)) = 0
((-6 * 4 + a * 4) + a(-6 + a)) = 0
((-24 + 4a) + a(-6 + a)) = 0
(-24 + 4a + (-6 * a + a * a)) = 0
(-24 + 4a + (-6a + a2)) = 0

Combine like terms: 4a + -6a = -2a
(-24 + -2a + a2) = 0

Solving
-24 + -2a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -1a)(6 + -1a) = 0

Subproblem 1
Set the factor '(-4 + -1a)' equal to zero and attempt to solve:

Simplifying
-4 + -1a = 0

Solving
-4 + -1a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1a = 0 + 4
-1a = 0 + 4

Combine like terms: 0 + 4 = 4
-1a = 4

Divide each side by '-1'.
a = -4

Simplifying
a = -4
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {-4, 6}