(a+4)(a-2)=

Solution for (a+4)(a-2)= equation:

Simplifying
(a + 4)(a + -2) = 0

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

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

Multiply (4 + a) * (-2 + a)
(4(-2 + a) + a(-2 + a)) = 0
((-2 * 4 + a * 4) + a(-2 + a)) = 0
((-8 + 4a) + a(-2 + a)) = 0
(-8 + 4a + (-2 * a + a * a)) = 0
(-8 + 4a + (-2a + a2)) = 0

Combine like terms: 4a + -2a = 2a
(-8 + 2a + a2) = 0

Solving
-8 + 2a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -1a)(2 + -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 '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a = 0 + -2
-1a = 0 + -2

Combine like terms: 0 + -2 = -2
-1a = -2

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {-4, 2}