240=44x-2x^2

Solution for 240=44x-2x^2 equation:

Simplifying
240 = 44x + -2x2

Solving
240 = 44x + -2x2

Solving for variable 'x'.

Reorder the terms:
240 + -44x + 2x2 = 44x + -44x + -2x2 + 2x2

Combine like terms: 44x + -44x = 0
240 + -44x + 2x2 = 0 + -2x2 + 2x2
240 + -44x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
240 + -44x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(120 + -22x + x2) = 0

Factor a trinomial.
2((10 + -1x)(12 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
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
Solution
x = {10, 12}