w^2+4wf-32f^2=

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Solution for w^2+4wf-32f^2= equation: 


Simplifying
w2 + 4wf + -32f2 = 0

Reorder the terms:
4fw + -32f2 + w2 = 0

Solving
4fw + -32f2 + w2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-8f + -1w)(4f + -1w) = 0


Subproblem 1
Set the factor '(-8f + -1w)' equal to zero and attempt to solve:

Simplifying
-8f + -1w = 0

Solving
-8f + -1w = 0

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

Add 'w' to each side of the equation.
-8f + -1w + w = 0 + w

Combine like terms: -1w + w = 0
-8f + 0 = 0 + w
-8f = 0 + w
Remove the zero:
-8f = w

Divide each side by '-8'.
f = -0.125w

Simplifying
f = -0.125w

Subproblem 2
Set the factor '(4f + -1w)' equal to zero and attempt to solve:

Simplifying
4f + -1w = 0

Solving
4f + -1w = 0

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

Add 'w' to each side of the equation.
4f + -1w + w = 0 + w

Combine like terms: -1w + w = 0
4f + 0 = 0 + w
4f = 0 + w
Remove the zero:
4f = w

Divide each side by '4'.
f = 0.25w

Simplifying
f = 0.25w
Solution
f = {-0.125w, 0.25w}

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