-10uw+u^2+25w^2=

Solution for -10uw+u^2+25w^2= equation:

Simplifying
-10uw + u2 + 25w2 = 0

Solving
-10uw + u2 + 25w2 = 0

Solving for variable 'u'.

Factor a trinomial.
(u + -5w)(u + -5w) = 0

Subproblem 1
Set the factor '(u + -5w)' equal to zero and attempt to solve:

Simplifying
u + -5w = 0

Solving
u + -5w = 0

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

Add '5w' to each side of the equation.
u + -5w + 5w = 0 + 5w

Combine like terms: -5w + 5w = 0
u + 0 = 0 + 5w
u = 0 + 5w
Remove the zero:
u = 5w

Simplifying
u = 5w
Subproblem 2
Set the factor '(u + -5w)' equal to zero and attempt to solve:

Simplifying
u + -5w = 0

Solving
u + -5w = 0

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

Add '5w' to each side of the equation.
u + -5w + 5w = 0 + 5w

Combine like terms: -5w + 5w = 0
u + 0 = 0 + 5w
u = 0 + 5w
Remove the zero:
u = 5w

Simplifying
u = 5w
Solution
u = {5w, 5w}