4r^2-20ry+25y^2=0

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Solution for 4r^2-20ry+25y^2=0 equation: 


Simplifying
4r2 + -20ry + 25y2 = 0

Reorder the terms:
-20ry + 4r2 + 25y2 = 0

Solving
-20ry + 4r2 + 25y2 = 0

Solving for variable 'r'.

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


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

Simplifying
2r + -5y = 0

Solving
2r + -5y = 0

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

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

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

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

Simplifying
r = 2.5y

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

Simplifying
2r + -5y = 0

Solving
2r + -5y = 0

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

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

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

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

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

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