2x^2=4xs

Solution for 2x^2=4xs equation:

Simplifying
2x2 = 4xs

Solving
2x2 = 4sx

Solving for variable 'x'.

Reorder the terms:
-4sx + 2x2 = 4sx + -4sx

Combine like terms: 4sx + -4sx = 0
-4sx + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-2s + x) = 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 '(-2s + x)' equal to zero and attempt to solve:

Simplifying
-2s + x = 0

Solving
-2s + x = 0

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

Add '2s' to each side of the equation.
-2s + 2s + x = 0 + 2s

Combine like terms: -2s + 2s = 0
0 + x = 0 + 2s
x = 0 + 2s
Remove the zero:
x = 2s

Simplifying
x = 2s
Solution
x = {0, 2s}