v^2-24vf-81f^2=

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Solution for v^2-24vf-81f^2= equation: 


Simplifying
v2 + -24vf + -81f2 = 0

Reorder the terms:
-24fv + -81f2 + v2 = 0

Solving
-24fv + -81f2 + v2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-3f + -1v)(27f + -1v) = 0


Subproblem 1
Set the factor '(-3f + -1v)' equal to zero and attempt to solve:

Simplifying
-3f + -1v = 0

Solving
-3f + -1v = 0

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

Add 'v' to each side of the equation.
-3f + -1v + v = 0 + v

Combine like terms: -1v + v = 0
-3f + 0 = 0 + v
-3f = 0 + v
Remove the zero:
-3f = v

Divide each side by '-3'.
f = -0.3333333333v

Simplifying
f = -0.3333333333v

Subproblem 2
Set the factor '(27f + -1v)' equal to zero and attempt to solve:

Simplifying
27f + -1v = 0

Solving
27f + -1v = 0

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

Add 'v' to each side of the equation.
27f + -1v + v = 0 + v

Combine like terms: -1v + v = 0
27f + 0 = 0 + v
27f = 0 + v
Remove the zero:
27f = v

Divide each side by '27'.
f = 0.03703703704v

Simplifying
f = 0.03703703704v
Solution
f = {-0.3333333333v, 0.03703703704v}

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