x^2-71x=0

Solution for x^2-71x=0 equation:

Simplifying
x2 + -71x = 0

Reorder the terms:
-71x + x2 = 0

Solving
-71x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-71 + 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 '(-71 + x)' equal to zero and attempt to solve:

Simplifying
-71 + x = 0

Solving
-71 + x = 0

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

Add '71' to each side of the equation.
-71 + 71 + x = 0 + 71

Combine like terms: -71 + 71 = 0
0 + x = 0 + 71
x = 0 + 71

Combine like terms: 0 + 71 = 71
x = 71

Simplifying
x = 71
Solution
x = {0, 71}