x^2-72x+71=0

Solution for x^2-72x+71=0 equation:

Simplifying
x2 + -72x + 71 = 0

Reorder the terms:
71 + -72x + x2 = 0

Solving
71 + -72x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(71 + -1x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(71 + -1x)' equal to zero and attempt to solve:

Simplifying
71 + -1x = 0

Solving
71 + -1x = 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 + -1x = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -1x = 0 + -71
-1x = 0 + -71

Combine like terms: 0 + -71 = -71
-1x = -71

Divide each side by '-1'.
x = 71

Simplifying
x = 71
Solution
x = {1, 71}