0=x^2-22x-48

Solution for 0=x^2-22x-48 equation:

Simplifying
0 = x2 + -22x + -48

Reorder the terms:
0 = -48 + -22x + x2

Solving
0 = -48 + -22x + x2

Solving for variable 'x'.

Combine like terms: 0 + 48 = 48
48 + 22x + -1x2 = -48 + -22x + x2 + 48 + 22x + -1x2

Reorder the terms:
48 + 22x + -1x2 = -48 + 48 + -22x + 22x + x2 + -1x2

Combine like terms: -48 + 48 = 0
48 + 22x + -1x2 = 0 + -22x + 22x + x2 + -1x2
48 + 22x + -1x2 = -22x + 22x + x2 + -1x2

Combine like terms: -22x + 22x = 0
48 + 22x + -1x2 = 0 + x2 + -1x2
48 + 22x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + 22x + -1x2 = 0

Factor a trinomial.
(24 + -1x)(2 + x) = 0

Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
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 = {24, -2}