r^2-20rt+64t^2=0

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Solution for r^2-20rt+64t^2=0 equation: 


Simplifying
r2 + -20rt + 64t2 = 0

Reorder the terms:
-20rt + r2 + 64t2 = 0

Solving
-20rt + r2 + 64t2 = 0

Solving for variable 'r'.

Factor a trinomial.
(r + -16t)(r + -4t) = 0


Subproblem 1
Set the factor '(r + -16t)' equal to zero and attempt to solve:

Simplifying
r + -16t = 0

Solving
r + -16t = 0

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

Add '16t' to each side of the equation.
r + -16t + 16t = 0 + 16t

Combine like terms: -16t + 16t = 0
r + 0 = 0 + 16t
r = 0 + 16t
Remove the zero:
r = 16t

Simplifying
r = 16t

Subproblem 2
Set the factor '(r + -4t)' equal to zero and attempt to solve:

Simplifying
r + -4t = 0

Solving
r + -4t = 0

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

Add '4t' to each side of the equation.
r + -4t + 4t = 0 + 4t

Combine like terms: -4t + 4t = 0
r + 0 = 0 + 4t
r = 0 + 4t
Remove the zero:
r = 4t

Simplifying
r = 4t
Solution
r = {16t, 4t}

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