(f-8)(8f-5)=0

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Solution for (f-8)(8f-5)=0 equation: 


Simplifying
(f + -8)(8f + -5) = 0

Reorder the terms:
(-8 + f)(8f + -5) = 0

Reorder the terms:
(-8 + f)(-5 + 8f) = 0

Multiply (-8 + f) * (-5 + 8f)
(-8(-5 + 8f) + f(-5 + 8f)) = 0
((-5 * -8 + 8f * -8) + f(-5 + 8f)) = 0
((40 + -64f) + f(-5 + 8f)) = 0
(40 + -64f + (-5 * f + 8f * f)) = 0
(40 + -64f + (-5f + 8f2)) = 0

Combine like terms: -64f + -5f = -69f
(40 + -69f + 8f2) = 0

Solving
40 + -69f + 8f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(5 + -8f)(8 + -1f) = 0


Subproblem 1
Set the factor '(5 + -8f)' equal to zero and attempt to solve:

Simplifying
5 + -8f = 0

Solving
5 + -8f = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8f = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8f = 0 + -5
-8f = 0 + -5

Combine like terms: 0 + -5 = -5
-8f = -5

Divide each side by '-8'.
f = 0.625

Simplifying
f = 0.625

Subproblem 2
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
Solution
f = {0.625, 8}

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