=(a-6)(a+8)

Solution for =(a-6)(a+8) equation:

Simplifying
0 = (a + -6)(a + 8)

Reorder the terms:
0 = (-6 + a)(a + 8)

Reorder the terms:
0 = (-6 + a)(8 + a)

Multiply (-6 + a) * (8 + a)
0 = (-6(8 + a) + a(8 + a))
0 = ((8 * -6 + a * -6) + a(8 + a))
0 = ((-48 + -6a) + a(8 + a))
0 = (-48 + -6a + (8 * a + a * a))
0 = (-48 + -6a + (8a + a2))

Combine like terms: -6a + 8a = 2a
0 = (-48 + 2a + a2)

Solving
0 = -48 + 2a + a2

Solving for variable 'a'.

Combine like terms: 0 + 48 = 48
48 + -2a + -1a2 = -48 + 2a + a2 + 48 + -2a + -1a2

Reorder the terms:
48 + -2a + -1a2 = -48 + 48 + 2a + -2a + a2 + -1a2

Combine like terms: -48 + 48 = 0
48 + -2a + -1a2 = 0 + 2a + -2a + a2 + -1a2
48 + -2a + -1a2 = 2a + -2a + a2 + -1a2

Combine like terms: 2a + -2a = 0
48 + -2a + -1a2 = 0 + a2 + -1a2
48 + -2a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
48 + -2a + -1a2 = 0

Factor a trinomial.
(6 + -1a)(8 + a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(8 + a)' equal to zero and attempt to solve:

Simplifying
8 + a = 0

Solving
8 + a = 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 + a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + a = 0 + -8
a = 0 + -8

Combine like terms: 0 + -8 = -8
a = -8

Simplifying
a = -8
Solution
a = {6, -8}