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


Subproblem 1
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

Subproblem 2
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
Solution
m = {2.5n, -0.75n}

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