0=x(x-8)-48

Solution for 0=x(x-8)-48 equation:

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

Reorder the terms:
0 = x(-8 + x) + -48
0 = (-8 * x + x * x) + -48
0 = (-8x + x2) + -48

Reorder the terms:
0 = -48 + -8x + x2

Solving
0 = -48 + -8x + x2

Solving for variable 'x'.

Combine like terms: 0 + 48 = 48
48 + 8x + -1x2 = -48 + -8x + x2 + 48 + 8x + -1x2

Reorder the terms:
48 + 8x + -1x2 = -48 + 48 + -8x + 8x + x2 + -1x2

Combine like terms: -48 + 48 = 0
48 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2
48 + 8x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
48 + 8x + -1x2 = 0 + x2 + -1x2
48 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + 8x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(4 + x) = 0

Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

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

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {12, -4}