2*x*(18-x)=64

Solution for 2*x*(18-x)=64 equation:

Simplifying
2x(18 + -1x) = 64
(18 * 2x + -1x * 2x) = 64
(36x + -2x2) = 64

Solving
36x + -2x2 = 64

Solving for variable 'x'.

Reorder the terms:
-64 + 36x + -2x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + 36x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 18x + -1x2) = 0

Factor a trinomial.
2((-16 + x)(2 + -1x)) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {16, 2}