v^2-3vf-70f^2=0

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Solution for v^2-3vf-70f^2=0 equation: 


Simplifying
v2 + -3vf + -70f2 = 0

Reorder the terms:
-3fv + -70f2 + v2 = 0

Solving
-3fv + -70f2 + v2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-7f + -1v)(10f + -1v) = 0


Subproblem 1
Set the factor '(-7f + -1v)' equal to zero and attempt to solve:

Simplifying
-7f + -1v = 0

Solving
-7f + -1v = 0

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

Add 'v' to each side of the equation.
-7f + -1v + v = 0 + v

Combine like terms: -1v + v = 0
-7f + 0 = 0 + v
-7f = 0 + v
Remove the zero:
-7f = v

Divide each side by '-7'.
f = -0.1428571429v

Simplifying
f = -0.1428571429v

Subproblem 2
Set the factor '(10f + -1v)' equal to zero and attempt to solve:

Simplifying
10f + -1v = 0

Solving
10f + -1v = 0

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

Add 'v' to each side of the equation.
10f + -1v + v = 0 + v

Combine like terms: -1v + v = 0
10f + 0 = 0 + v
10f = 0 + v
Remove the zero:
10f = v

Divide each side by '10'.
f = 0.1v

Simplifying
f = 0.1v
Solution
f = {-0.1428571429v, 0.1v}

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