(768x)-2x^2=0

Solution for (768x)-2x^2=0 equation:

Simplifying
(768x) + -2x2 = 0

Solving
(768x) + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(384 + -1x) = 0

Ignore the factor 2.
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 '(384 + -1x)' equal to zero and attempt to solve:

Simplifying
384 + -1x = 0

Solving
384 + -1x = 0

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

Add '-384' to each side of the equation.
384 + -384 + -1x = 0 + -384

Combine like terms: 384 + -384 = 0
0 + -1x = 0 + -384
-1x = 0 + -384

Combine like terms: 0 + -384 = -384
-1x = -384

Divide each side by '-1'.
x = 384

Simplifying
x = 384
Solution
x = {0, 384}