2x^2-320x+3000=0

Solution for 2x^2-320x+3000=0 equation:

Simplifying
2x2 + -320x + 3000 = 0

Reorder the terms:
3000 + -320x + 2x2 = 0

Solving
3000 + -320x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1500 + -160x + x2) = 0

Factor a trinomial.
2((10 + -1x)(150 + -1x)) = 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 '(150 + -1x)' equal to zero and attempt to solve:

Simplifying
150 + -1x = 0

Solving
150 + -1x = 0

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

Add '-150' to each side of the equation.
150 + -150 + -1x = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -1x = 0 + -150
-1x = 0 + -150

Combine like terms: 0 + -150 = -150
-1x = -150

Divide each side by '-1'.
x = 150

Simplifying
x = 150
Solution
x = {10, 150}