48=x(13+x)

Solution for 48=x(13+x) equation:

Simplifying
48 = x(13 + x)
48 = (13 * x + x * x)
48 = (13x + x2)

Solving
48 = 13x + x2

Solving for variable 'x'.

Reorder the terms:
48 + -13x + -1x2 = 13x + -13x + x2 + -1x2

Combine like terms: 13x + -13x = 0
48 + -13x + -1x2 = 0 + x2 + -1x2
48 + -13x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -13x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(16 + x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Simplifying
x = -16
Solution
x = {3, -16}