8x-48+8x+48=(x+6)(x-6)

Solution for 8x-48+8x+48=(x+6)(x-6) equation:

Simplifying
8x + -48 + 8x + 48 = (x + 6)(x + -6)

Reorder the terms:
-48 + 48 + 8x + 8x = (x + 6)(x + -6)

Combine like terms: -48 + 48 = 0
0 + 8x + 8x = (x + 6)(x + -6)
8x + 8x = (x + 6)(x + -6)

Combine like terms: 8x + 8x = 16x
16x = (x + 6)(x + -6)

Reorder the terms:
16x = (6 + x)(x + -6)

Reorder the terms:
16x = (6 + x)(-6 + x)

Multiply (6 + x) * (-6 + x)
16x = (6(-6 + x) + x(-6 + x))
16x = ((-6 * 6 + x * 6) + x(-6 + x))
16x = ((-36 + 6x) + x(-6 + x))
16x = (-36 + 6x + (-6 * x + x * x))
16x = (-36 + 6x + (-6x + x2))

Combine like terms: 6x + -6x = 0
16x = (-36 + 0 + x2)
16x = (-36 + x2)

Solving
16x = -36 + x2

Solving for variable 'x'.

Reorder the terms:
36 + 16x + -1x2 = -36 + x2 + 36 + -1x2

Reorder the terms:
36 + 16x + -1x2 = -36 + 36 + x2 + -1x2

Combine like terms: -36 + 36 = 0
36 + 16x + -1x2 = 0 + x2 + -1x2
36 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
36 + 16x + -1x2 = 0

Factor a trinomial.
(18 + -1x)(2 + x) = 0

Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {18, -2}