64=x(12+x)

Solution for 64=x(12+x) equation:

Simplifying
64 = x(12 + x)
64 = (12 * x + x * x)
64 = (12x + x2)

Solving
64 = 12x + x2

Solving for variable 'x'.

Reorder the terms:
64 + -12x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
64 + -12x + -1x2 = 0 + x2 + -1x2
64 + -12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
64 + -12x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(16 + x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
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 = {4, -16}