(9m-2n)(5m+8n)=

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Solution for (9m-2n)(5m+8n)= equation: 


Simplifying
(9m + -2n)(5m + 8n) = 0

Multiply (9m + -2n) * (5m + 8n)
(9m * (5m + 8n) + -2n * (5m + 8n)) = 0
((5m * 9m + 8n * 9m) + -2n * (5m + 8n)) = 0

Reorder the terms:
((72mn + 45m2) + -2n * (5m + 8n)) = 0
((72mn + 45m2) + -2n * (5m + 8n)) = 0
(72mn + 45m2 + (5m * -2n + 8n * -2n)) = 0
(72mn + 45m2 + (-10mn + -16n2)) = 0

Reorder the terms:
(72mn + -10mn + 45m2 + -16n2) = 0

Combine like terms: 72mn + -10mn = 62mn
(62mn + 45m2 + -16n2) = 0

Solving
62mn + 45m2 + -16n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(9m + -2n)(5m + 8n) = 0


Subproblem 1
Set the factor '(9m + -2n)' equal to zero and attempt to solve:

Simplifying
9m + -2n = 0

Solving
9m + -2n = 0

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

Add '2n' to each side of the equation.
9m + -2n + 2n = 0 + 2n

Combine like terms: -2n + 2n = 0
9m + 0 = 0 + 2n
9m = 0 + 2n
Remove the zero:
9m = 2n

Divide each side by '9'.
m = 0.2222222222n

Simplifying
m = 0.2222222222n

Subproblem 2
Set the factor '(5m + 8n)' equal to zero and attempt to solve:

Simplifying
5m + 8n = 0

Solving
5m + 8n = 0

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

Add '-8n' to each side of the equation.
5m + 8n + -8n = 0 + -8n

Combine like terms: 8n + -8n = 0
5m + 0 = 0 + -8n
5m = 0 + -8n
Remove the zero:
5m = -8n

Divide each side by '5'.
m = -1.6n

Simplifying
m = -1.6n
Solution
m = {0.2222222222n, -1.6n}

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