(5y-2u)(5y-2u)=0

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Solution for (5y-2u)(5y-2u)=0 equation: 


Simplifying
(5y + -2u)(5y + -2u) = 0

Reorder the terms:
(-2u + 5y)(5y + -2u) = 0

Reorder the terms:
(-2u + 5y)(-2u + 5y) = 0

Multiply (-2u + 5y) * (-2u + 5y)
(-2u * (-2u + 5y) + 5y * (-2u + 5y)) = 0
((-2u * -2u + 5y * -2u) + 5y * (-2u + 5y)) = 0

Reorder the terms:
((-10uy + 4u2) + 5y * (-2u + 5y)) = 0
((-10uy + 4u2) + 5y * (-2u + 5y)) = 0
(-10uy + 4u2 + (-2u * 5y + 5y * 5y)) = 0
(-10uy + 4u2 + (-10uy + 25y2)) = 0

Reorder the terms:
(-10uy + -10uy + 4u2 + 25y2) = 0

Combine like terms: -10uy + -10uy = -20uy
(-20uy + 4u2 + 25y2) = 0

Solving
-20uy + 4u2 + 25y2 = 0

Solving for variable 'u'.

Factor a trinomial.
(2u + -5y)(2u + -5y) = 0


Subproblem 1
Set the factor '(2u + -5y)' equal to zero and attempt to solve:

Simplifying
2u + -5y = 0

Solving
2u + -5y = 0

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

Add '5y' to each side of the equation.
2u + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2u + 0 = 0 + 5y
2u = 0 + 5y
Remove the zero:
2u = 5y

Divide each side by '2'.
u = 2.5y

Simplifying
u = 2.5y

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

Simplifying
2u + -5y = 0

Solving
2u + -5y = 0

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

Add '5y' to each side of the equation.
2u + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2u + 0 = 0 + 5y
2u = 0 + 5y
Remove the zero:
2u = 5y

Divide each side by '2'.
u = 2.5y

Simplifying
u = 2.5y
Solution
u = {2.5y, 2.5y}

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