18x^2-6400x+62200=0

Solution for 18x^2-6400x+62200=0 equation:

Simplifying
18x2 + -6400x + 62200 = 0

Reorder the terms:
62200 + -6400x + 18x2 = 0

Solving
62200 + -6400x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(31100 + -3200x + 9x2) = 0

Factor a trinomial.
2((10 + -1x)(3110 + -9x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(3110 + -9x)' equal to zero and attempt to solve:

Simplifying
3110 + -9x = 0

Solving
3110 + -9x = 0

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

Add '-3110' to each side of the equation.
3110 + -3110 + -9x = 0 + -3110

Combine like terms: 3110 + -3110 = 0
0 + -9x = 0 + -3110
-9x = 0 + -3110

Combine like terms: 0 + -3110 = -3110
-9x = -3110

Divide each side by '-9'.
x = 345.5555556

Simplifying
x = 345.5555556
Solution
x = {10, 345.5555556}