144=x(32+x)

Solution for 144=x(32+x) equation:

Simplifying
144 = x(32 + x)
144 = (32 * x + x * x)
144 = (32x + x2)

Solving
144 = 32x + x2

Solving for variable 'x'.

Reorder the terms:
144 + -32x + -1x2 = 32x + -32x + x2 + -1x2

Combine like terms: 32x + -32x = 0
144 + -32x + -1x2 = 0 + x2 + -1x2
144 + -32x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
144 + -32x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(36 + 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 '(36 + x)' equal to zero and attempt to solve:

Simplifying
36 + x = 0

Solving
36 + x = 0

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

Add '-36' to each side of the equation.
36 + -36 + x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + x = 0 + -36
x = 0 + -36

Combine like terms: 0 + -36 = -36
x = -36

Simplifying
x = -36
Solution
x = {4, -36}