0=x^2-81x

Solution for 0=x^2-81x equation:

Simplifying
0 = x2 + -81x

Reorder the terms:
0 = -81x + x2

Solving
0 = -81x + x2

Solving for variable 'x'.
Remove the zero:
81x + -1x2 = -81x + x2 + 81x + -1x2

Reorder the terms:
81x + -1x2 = -81x + 81x + x2 + -1x2

Combine like terms: -81x + 81x = 0
81x + -1x2 = 0 + x2 + -1x2
81x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
81x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(81 + -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 '(81 + -1x)' equal to zero and attempt to solve:

Simplifying
81 + -1x = 0

Solving
81 + -1x = 0

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

Add '-81' to each side of the equation.
81 + -81 + -1x = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -1x = 0 + -81
-1x = 0 + -81

Combine like terms: 0 + -81 = -81
-1x = -81

Divide each side by '-1'.
x = 81

Simplifying
x = 81
Solution
x = {0, 81}