48=x(x+2)

Solution for 48=x(x+2) equation:

Simplifying
48 = x(x + 2)

Reorder the terms:
48 = x(2 + x)
48 = (2 * x + x * x)
48 = (2x + x2)

Solving
48 = 2x + x2

Solving for variable 'x'.

Reorder the terms:
48 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
48 + -2x + -1x2 = 0 + x2 + -1x2
48 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -2x + -1x2 = 0

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

Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

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

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

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