(f-1)(f+8)=

Solution for (f-1)(f+8)= equation:

Simplifying
(f + -1)(f + 8) = 0

Reorder the terms:
(-1 + f)(f + 8) = 0

Reorder the terms:
(-1 + f)(8 + f) = 0

Multiply (-1 + f) * (8 + f)
(-1(8 + f) + f(8 + f)) = 0
((8 * -1 + f * -1) + f(8 + f)) = 0
((-8 + -1f) + f(8 + f)) = 0
(-8 + -1f + (8 * f + f * f)) = 0
(-8 + -1f + (8f + f2)) = 0

Combine like terms: -1f + 8f = 7f
(-8 + 7f + f2) = 0

Solving
-8 + 7f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-8 + -1f)(1 + -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 '(1 + -1f)' equal to zero and attempt to solve:

Simplifying
1 + -1f = 0

Solving
1 + -1f = 0

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

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

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

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

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

Simplifying
f = 1
Solution
f = {-8, 1}