72x^2-800x+800=0

Solution for 72x^2-800x+800=0 equation:

Simplifying
72x2 + -800x + 800 = 0

Reorder the terms:
800 + -800x + 72x2 = 0

Solving
800 + -800x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(100 + -100x + 9x2) = 0

Factor a trinomial.
8((10 + -9x)(10 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(10 + -9x)' equal to zero and attempt to solve:

Simplifying
10 + -9x = 0

Solving
10 + -9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 0 + -10
-9x = 0 + -10

Combine like terms: 0 + -10 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {1.111111111, 10}