k^2+kf-2f^2=

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Solution for k^2+kf-2f^2= equation: 


Simplifying
k2 + kf + -2f2 = 0

Reorder the terms:
fk + -2f2 + k2 = 0

Solving
fk + -2f2 + k2 = 0

Solving for variable 'f'.

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


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

Simplifying
-2f + -1k = 0

Solving
-2f + -1k = 0

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

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

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

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

Simplifying
f = -0.5k

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

Simplifying
f + -1k = 0

Solving
f + -1k = 0

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

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

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

Simplifying
f = k
Solution
f = {-0.5k, k}

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