0=2x^2-200x+3200

Solution for 0=2x^2-200x+3200 equation:

Simplifying
0 = 2x2 + -200x + 3200

Reorder the terms:
0 = 3200 + -200x + 2x2

Solving
0 = 3200 + -200x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -3200 = -3200
-3200 + 200x + -2x2 = 3200 + -200x + 2x2 + -3200 + 200x + -2x2

Reorder the terms:
-3200 + 200x + -2x2 = 3200 + -3200 + -200x + 200x + 2x2 + -2x2

Combine like terms: 3200 + -3200 = 0
-3200 + 200x + -2x2 = 0 + -200x + 200x + 2x2 + -2x2
-3200 + 200x + -2x2 = -200x + 200x + 2x2 + -2x2

Combine like terms: -200x + 200x = 0
-3200 + 200x + -2x2 = 0 + 2x2 + -2x2
-3200 + 200x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3200 + 200x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1600 + 100x + -1x2) = 0

Factor a trinomial.
2((-80 + x)(20 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-80 + x)' equal to zero and attempt to solve:

Simplifying
-80 + x = 0

Solving
-80 + x = 0

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

Add '80' to each side of the equation.
-80 + 80 + x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + x = 0 + 80
x = 0 + 80

Combine like terms: 0 + 80 = 80
x = 80

Simplifying
x = 80
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {80, 20}