2u^2-3uv+v^2=

Solution for 2u^2-3uv+v^2= equation:

Simplifying
2u2 + -3uv + v2 = 0

Reorder the terms:
-3uv + 2u2 + v2 = 0

Solving
-3uv + 2u2 + v2 = 0

Solving for variable 'u'.

Factor a trinomial.
(u + -1v)(2u + -1v) = 0

Subproblem 1
Set the factor '(u + -1v)' equal to zero and attempt to solve:

Simplifying
u + -1v = 0

Solving
u + -1v = 0

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

Add 'v' to each side of the equation.
u + -1v + v = 0 + v

Combine like terms: -1v + v = 0
u + 0 = 0 + v
u = 0 + v
Remove the zero:
u = v

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

Simplifying
2u + -1v = 0

Solving
2u + -1v = 0

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

Add 'v' to each side of the equation.
2u + -1v + v = 0 + v

Combine like terms: -1v + v = 0
2u + 0 = 0 + v
2u = 0 + v
Remove the zero:
2u = v

Divide each side by '2'.
u = 0.5v

Simplifying
u = 0.5v
Solution
u = {v, 0.5v}