5t^2-28tm+15m^2=0

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Solution for 5t^2-28tm+15m^2=0 equation: 


Simplifying
5t2 + -28tm + 15m2 = 0

Reorder the terms:
-28mt + 15m2 + 5t2 = 0

Solving
-28mt + 15m2 + 5t2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3m + -5t)(5m + -1t) = 0


Subproblem 1
Set the factor '(3m + -5t)' equal to zero and attempt to solve:

Simplifying
3m + -5t = 0

Solving
3m + -5t = 0

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

Add '5t' to each side of the equation.
3m + -5t + 5t = 0 + 5t

Combine like terms: -5t + 5t = 0
3m + 0 = 0 + 5t
3m = 0 + 5t
Remove the zero:
3m = 5t

Divide each side by '3'.
m = 1.666666667t

Simplifying
m = 1.666666667t

Subproblem 2
Set the factor '(5m + -1t)' equal to zero and attempt to solve:

Simplifying
5m + -1t = 0

Solving
5m + -1t = 0

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

Add 't' to each side of the equation.
5m + -1t + t = 0 + t

Combine like terms: -1t + t = 0
5m + 0 = 0 + t
5m = 0 + t
Remove the zero:
5m = t

Divide each side by '5'.
m = 0.2t

Simplifying
m = 0.2t
Solution
m = {1.666666667t, 0.2t}

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