(7f-8)(f-8)=0

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Solution for (7f-8)(f-8)=0 equation: 


Simplifying
(7f + -8)(f + -8) = 0

Reorder the terms:
(-8 + 7f)(f + -8) = 0

Reorder the terms:
(-8 + 7f)(-8 + f) = 0

Multiply (-8 + 7f) * (-8 + f)
(-8(-8 + f) + 7f * (-8 + f)) = 0
((-8 * -8 + f * -8) + 7f * (-8 + f)) = 0
((64 + -8f) + 7f * (-8 + f)) = 0
(64 + -8f + (-8 * 7f + f * 7f)) = 0
(64 + -8f + (-56f + 7f2)) = 0

Combine like terms: -8f + -56f = -64f
(64 + -64f + 7f2) = 0

Solving
64 + -64f + 7f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(8 + -7f)(8 + -1f) = 0


Subproblem 1
Set the factor '(8 + -7f)' equal to zero and attempt to solve:

Simplifying
8 + -7f = 0

Solving
8 + -7f = 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 + -7f = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7f = 0 + -8
-7f = 0 + -8

Combine like terms: 0 + -8 = -8
-7f = -8

Divide each side by '-7'.
f = 1.142857143

Simplifying
f = 1.142857143

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 = {1.142857143, 8}

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