# x^2-19x=0

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## Solution for x^2-19x=0 equation:

Simplifying
x2 + -19x = 0

Reorder the terms:
-19x + x2 = 0

Solving
-19x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19 + x) = 0

Subproblem 1Set 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 2Set the factor '(-19 + x)' equal to zero and attempt to solve:

Simplifying
-19 + x = 0

Solving
-19 + x = 0

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

Add '19' to each side of the equation.
-19 + 19 + x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + x = 0 + 19
x = 0 + 19

Combine like terms: 0 + 19 = 19
x = 19

Simplifying
x = 19Solutionx = {0, 19}`