x^2-18x+81=81

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Solution for x^2-18x+81=81 equation: 


Simplifying
x2 + -18x + 81 = 81

Reorder the terms:
81 + -18x + x2 = 81

Add '-81' to each side of the equation.
81 + -18x + -81 + x2 = 81 + -81

Reorder the terms:
81 + -81 + -18x + x2 = 81 + -81

Combine like terms: 81 + -81 = 0
0 + -18x + x2 = 81 + -81
-18x + x2 = 81 + -81

Combine like terms: 81 + -81 = 0
-18x + x2 = 0

Solving
-18x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + x) = 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 '(-18 + x)' equal to zero and attempt to solve:

Simplifying
-18 + x = 0

Solving
-18 + x = 0

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

Add '18' to each side of the equation.
-18 + 18 + x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + x = 0 + 18
x = 0 + 18

Combine like terms: 0 + 18 = 18
x = 18

Simplifying
x = 18
Solution
x = {0, 18}

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