0=x^2-16x

Solution for 0=x^2-16x equation:

Simplifying
0 = x2 + -16x

Reorder the terms:
0 = -16x + x2

Solving
0 = -16x + x2

Solving for variable 'x'.
Remove the zero:
16x + -1x2 = -16x + x2 + 16x + -1x2

Reorder the terms:
16x + -1x2 = -16x + 16x + x2 + -1x2

Combine like terms: -16x + 16x = 0
16x + -1x2 = 0 + x2 + -1x2
16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + -1x) = 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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 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 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {0, 16}