(5m-3n)(5m-3n)=

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Solution for (5m-3n)(5m-3n)= equation: 


Simplifying
(5m + -3n)(5m + -3n) = 0

Multiply (5m + -3n) * (5m + -3n)
(5m * (5m + -3n) + -3n * (5m + -3n)) = 0
((5m * 5m + -3n * 5m) + -3n * (5m + -3n)) = 0

Reorder the terms:
((-15mn + 25m2) + -3n * (5m + -3n)) = 0
((-15mn + 25m2) + -3n * (5m + -3n)) = 0
(-15mn + 25m2 + (5m * -3n + -3n * -3n)) = 0
(-15mn + 25m2 + (-15mn + 9n2)) = 0

Reorder the terms:
(-15mn + -15mn + 25m2 + 9n2) = 0

Combine like terms: -15mn + -15mn = -30mn
(-30mn + 25m2 + 9n2) = 0

Solving
-30mn + 25m2 + 9n2 = 0

Solving for variable 'm'.

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


Subproblem 1
Set the factor '(5m + -3n)' equal to zero and attempt to solve:

Simplifying
5m + -3n = 0

Solving
5m + -3n = 0

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

Add '3n' to each side of the equation.
5m + -3n + 3n = 0 + 3n

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

Divide each side by '5'.
m = 0.6n

Simplifying
m = 0.6n

Subproblem 2
Set the factor '(5m + -3n)' equal to zero and attempt to solve:

Simplifying
5m + -3n = 0

Solving
5m + -3n = 0

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

Add '3n' to each side of the equation.
5m + -3n + 3n = 0 + 3n

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

Divide each side by '5'.
m = 0.6n

Simplifying
m = 0.6n
Solution
m = {0.6n, 0.6n}

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