t^2-2tf-63f^2=

Solution for t^2-2tf-63f^2= equation:

Simplifying
t2 + -2tf + -63f2 = 0

Reorder the terms:
-2ft + -63f2 + t2 = 0

Solving
-2ft + -63f2 + t2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-7f + -1t)(9f + -1t) = 0

Subproblem 1
Set the factor '(-7f + -1t)' equal to zero and attempt to solve:

Simplifying
-7f + -1t = 0

Solving
-7f + -1t = 0

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

Add 't' to each side of the equation.
-7f + -1t + t = 0 + t

Combine like terms: -1t + t = 0
-7f + 0 = 0 + t
-7f = 0 + t
Remove the zero:
-7f = t

Divide each side by '-7'.
f = -0.1428571429t

Simplifying
f = -0.1428571429t
Subproblem 2
Set the factor '(9f + -1t)' equal to zero and attempt to solve:

Simplifying
9f + -1t = 0

Solving
9f + -1t = 0

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

Add 't' to each side of the equation.
9f + -1t + t = 0 + t

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

Divide each side by '9'.
f = 0.1111111111t

Simplifying
f = 0.1111111111t
Solution
f = {-0.1428571429t, 0.1111111111t}