x^2-17x+72x=0

Solution for x^2-17x+72x=0 equation:

Simplifying
x2 + -17x + 72x = 0

Reorder the terms:
-17x + 72x + x2 = 0

Combine like terms: -17x + 72x = 55x
55x + x2 = 0

Solving
55x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(55 + 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 '(55 + x)' equal to zero and attempt to solve:

Simplifying
55 + x = 0

Solving
55 + x = 0

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

Add '-55' to each side of the equation.
55 + -55 + x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + x = 0 + -55
x = 0 + -55

Combine like terms: 0 + -55 = -55
x = -55

Simplifying
x = -55
Solution
x = {0, -55}