9v^2+30vf+25f^2=

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Solution for 9v^2+30vf+25f^2= equation: 


Simplifying
9v2 + 30vf + 25f2 = 0

Reorder the terms:
30fv + 25f2 + 9v2 = 0

Solving
30fv + 25f2 + 9v2 = 0

Solving for variable 'f'.

Factor a trinomial.
(5f + 3v)(5f + 3v) = 0


Subproblem 1
Set the factor '(5f + 3v)' equal to zero and attempt to solve:

Simplifying
5f + 3v = 0

Solving
5f + 3v = 0

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

Add '-3v' to each side of the equation.
5f + 3v + -3v = 0 + -3v

Combine like terms: 3v + -3v = 0
5f + 0 = 0 + -3v
5f = 0 + -3v
Remove the zero:
5f = -3v

Divide each side by '5'.
f = -0.6v

Simplifying
f = -0.6v

Subproblem 2
Set the factor '(5f + 3v)' equal to zero and attempt to solve:

Simplifying
5f + 3v = 0

Solving
5f + 3v = 0

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

Add '-3v' to each side of the equation.
5f + 3v + -3v = 0 + -3v

Combine like terms: 3v + -3v = 0
5f + 0 = 0 + -3v
5f = 0 + -3v
Remove the zero:
5f = -3v

Divide each side by '5'.
f = -0.6v

Simplifying
f = -0.6v
Solution
f = {-0.6v, -0.6v}

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