0=x(2x-23)

Solution for 0=x(2x-23) equation:

Simplifying
0 = x(2x + -23)

Reorder the terms:
0 = x(-23 + 2x)
0 = (-23 * x + 2x * x)
0 = (-23x + 2x2)

Solving
0 = -23x + 2x2

Solving for variable 'x'.
Remove the zero:
23x + -2x2 = -23x + 2x2 + 23x + -2x2

Reorder the terms:
23x + -2x2 = -23x + 23x + 2x2 + -2x2

Combine like terms: -23x + 23x = 0
23x + -2x2 = 0 + 2x2 + -2x2
23x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
23x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(23 + -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 '(23 + -2x)' equal to zero and attempt to solve:

Simplifying
23 + -2x = 0

Solving
23 + -2x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -2x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -2x = 0 + -23
-2x = 0 + -23

Combine like terms: 0 + -23 = -23
-2x = -23

Divide each side by '-2'.
x = 11.5

Simplifying
x = 11.5
Solution
x = {0, 11.5}