240=8x+x*x

Solution for 240=8x+x*x equation:

Simplifying
240 = 8x + x * x

Multiply x * x
240 = 8x + x2

Solving
240 = 8x + x2

Solving for variable 'x'.

Reorder the terms:
240 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
240 + -8x + -1x2 = 0 + x2 + -1x2
240 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
240 + -8x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(20 + x) = 0

Subproblem 1
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

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

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

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {12, -20}