f^2+4f-32=0

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Solution for f^2+4f-32=0 equation: 


Simplifying
f2 + 4f + -32 = 0

Reorder the terms:
-32 + 4f + f2 = 0

Solving
-32 + 4f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-8 + -1f)(4 + -1f) = 0


Subproblem 1
Set the factor '(-8 + -1f)' equal to zero and attempt to solve:

Simplifying
-8 + -1f = 0

Solving
-8 + -1f = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1f = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1f = 0 + 8
-1f = 0 + 8

Combine like terms: 0 + 8 = 8
-1f = 8

Divide each side by '-1'.
f = -8

Simplifying
f = -8

Subproblem 2
Set the factor '(4 + -1f)' equal to zero and attempt to solve:

Simplifying
4 + -1f = 0

Solving
4 + -1f = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1f = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1f = 0 + -4
-1f = 0 + -4

Combine like terms: 0 + -4 = -4
-1f = -4

Divide each side by '-1'.
f = 4

Simplifying
f = 4
Solution
f = {-8, 4}

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