(5m+3n)(5m+11n)=

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Solution for (5m+3n)(5m+11n)= equation: 


Simplifying
(5m + 3n)(5m + 11n) = 0

Multiply (5m + 3n) * (5m + 11n)
(5m * (5m + 11n) + 3n * (5m + 11n)) = 0
((5m * 5m + 11n * 5m) + 3n * (5m + 11n)) = 0

Reorder the terms:
((55mn + 25m2) + 3n * (5m + 11n)) = 0
((55mn + 25m2) + 3n * (5m + 11n)) = 0
(55mn + 25m2 + (5m * 3n + 11n * 3n)) = 0
(55mn + 25m2 + (15mn + 33n2)) = 0

Reorder the terms:
(55mn + 15mn + 25m2 + 33n2) = 0

Combine like terms: 55mn + 15mn = 70mn
(70mn + 25m2 + 33n2) = 0

Solving
70mn + 25m2 + 33n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5m + 3n)(5m + 11n) = 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 + 11n)' equal to zero and attempt to solve:

Simplifying
5m + 11n = 0

Solving
5m + 11n = 0

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

Add '-11n' to each side of the equation.
5m + 11n + -11n = 0 + -11n

Combine like terms: 11n + -11n = 0
5m + 0 = 0 + -11n
5m = 0 + -11n
Remove the zero:
5m = -11n

Divide each side by '5'.
m = -2.2n

Simplifying
m = -2.2n
Solution
m = {-0.6n, -2.2n}

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