f^2-4f-77=

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Solution for f^2-4f-77= equation: 


Simplifying
f2 + -4f + -77 = 0

Reorder the terms:
-77 + -4f + f2 = 0

Solving
-77 + -4f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-7 + -1f)(11 + -1f) = 0


Subproblem 1
Set the factor '(-7 + -1f)' equal to zero and attempt to solve:

Simplifying
-7 + -1f = 0

Solving
-7 + -1f = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1f = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1f = 0 + 7
-1f = 0 + 7

Combine like terms: 0 + 7 = 7
-1f = 7

Divide each side by '-1'.
f = -7

Simplifying
f = -7

Subproblem 2
Set the factor '(11 + -1f)' equal to zero and attempt to solve:

Simplifying
11 + -1f = 0

Solving
11 + -1f = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1f = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1f = 0 + -11
-1f = 0 + -11

Combine like terms: 0 + -11 = -11
-1f = -11

Divide each side by '-1'.
f = 11

Simplifying
f = 11
Solution
f = {-7, 11}

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