=(a+6)(a-4)

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

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

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

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

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

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

Solving
0 = -24 + 2a + a2

Solving for variable 'a'.

Combine like terms: 0 + 24 = 24
24 + -2a + -1a2 = -24 + 2a + a2 + 24 + -2a + -1a2

Reorder the terms:
24 + -2a + -1a2 = -24 + 24 + 2a + -2a + a2 + -1a2

Combine like terms: -24 + 24 = 0
24 + -2a + -1a2 = 0 + 2a + -2a + a2 + -1a2
24 + -2a + -1a2 = 2a + -2a + a2 + -1a2

Combine like terms: 2a + -2a = 0
24 + -2a + -1a2 = 0 + a2 + -1a2
24 + -2a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
24 + -2a + -1a2 = 0

Factor a trinomial.
(4 + -1a)(6 + a) = 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 + a)' equal to zero and attempt to solve:

Simplifying
6 + a = 0

Solving
6 + a = 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 + a = 0 + -6

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

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

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