w^2-7wf-18f^2=

Solution for w^2-7wf-18f^2= equation:

Simplifying
w2 + -7wf + -18f2 = 0

Reorder the terms:
-7fw + -18f2 + w2 = 0

Solving
-7fw + -18f2 + w2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-2f + -1w)(9f + -1w) = 0

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

Simplifying
-2f + -1w = 0

Solving
-2f + -1w = 0

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

Add 'w' to each side of the equation.
-2f + -1w + w = 0 + w

Combine like terms: -1w + w = 0
-2f + 0 = 0 + w
-2f = 0 + w
Remove the zero:
-2f = w

Divide each side by '-2'.
f = -0.5w

Simplifying
f = -0.5w
Subproblem 2
Set the factor '(9f + -1w)' equal to zero and attempt to solve:

Simplifying
9f + -1w = 0

Solving
9f + -1w = 0

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

Add 'w' to each side of the equation.
9f + -1w + w = 0 + w

Combine like terms: -1w + w = 0
9f + 0 = 0 + w
9f = 0 + w
Remove the zero:
9f = w

Divide each side by '9'.
f = 0.1111111111w

Simplifying
f = 0.1111111111w
Solution
f = {-0.5w, 0.1111111111w}