2x(x-18)=x

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

Simplifying
2x(x + -18) = x

Reorder the terms:
2x(-18 + x) = x
(-18 * 2x + x * 2x) = x
(-36x + 2x2) = x

Solving
-36x + 2x2 = x

Solving for variable 'x'.

Reorder the terms:
-36x + -1x + 2x2 = x + -1x

Combine like terms: -36x + -1x = -37x
-37x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-37x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-37 + 2x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-37 + 2x)' equal to zero and attempt to solve:

Simplifying
-37 + 2x = 0

Solving
-37 + 2x = 0

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

Add '37' to each side of the equation.
-37 + 37 + 2x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 2x = 0 + 37
2x = 0 + 37

Combine like terms: 0 + 37 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5
Solution
x = {0, 18.5}