9f(3f+8)=0

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Solution for 9f(3f+8)=0 equation: 


Simplifying
9f(3f + 8) = 0

Reorder the terms:
9f(8 + 3f) = 0
(8 * 9f + 3f * 9f) = 0
(72f + 27f2) = 0

Solving
72f + 27f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '9f'.
9f(8 + 3f) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'f' equal to zero and attempt to solve:

Simplifying
f = 0

Solving
f = 0

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

Simplifying
f = 0

Subproblem 2
Set the factor '(8 + 3f)' equal to zero and attempt to solve:

Simplifying
8 + 3f = 0

Solving
8 + 3f = 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 + 3f = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3f = 0 + -8
3f = 0 + -8

Combine like terms: 0 + -8 = -8
3f = -8

Divide each side by '3'.
f = -2.666666667

Simplifying
f = -2.666666667
Solution
f = {0, -2.666666667}

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