8m^2+14mn-15n^2=

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Solution for 8m^2+14mn-15n^2= equation: 


Simplifying
8m2 + 14mn + -15n2 = 0

Reorder the terms:
14mn + 8m2 + -15n2 = 0

Solving
14mn + 8m2 + -15n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4m + -3n)(2m + 5n) = 0


Subproblem 1
Set the factor '(4m + -3n)' equal to zero and attempt to solve:

Simplifying
4m + -3n = 0

Solving
4m + -3n = 0

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

Add '3n' to each side of the equation.
4m + -3n + 3n = 0 + 3n

Combine like terms: -3n + 3n = 0
4m + 0 = 0 + 3n
4m = 0 + 3n
Remove the zero:
4m = 3n

Divide each side by '4'.
m = 0.75n

Simplifying
m = 0.75n

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

Simplifying
2m + 5n = 0

Solving
2m + 5n = 0

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

Add '-5n' to each side of the equation.
2m + 5n + -5n = 0 + -5n

Combine like terms: 5n + -5n = 0
2m + 0 = 0 + -5n
2m = 0 + -5n
Remove the zero:
2m = -5n

Divide each side by '2'.
m = -2.5n

Simplifying
m = -2.5n
Solution
m = {0.75n, -2.5n}

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