k^2+2kf-3f^2=

Solution for k^2+2kf-3f^2= equation:

Simplifying
k2 + 2kf + -3f2 = 0

Reorder the terms:
2fk + -3f2 + k2 = 0

Solving
2fk + -3f2 + k2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-3f + -1k)(f + -1k) = 0

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

Simplifying
-3f + -1k = 0

Solving
-3f + -1k = 0

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

Add 'k' to each side of the equation.
-3f + -1k + k = 0 + k

Combine like terms: -1k + k = 0
-3f + 0 = 0 + k
-3f = 0 + k
Remove the zero:
-3f = k

Divide each side by '-3'.
f = -0.3333333333k

Simplifying
f = -0.3333333333k
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 = {-0.3333333333k, k}