9f^2+48f+64=0

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Solution for 9f^2+48f+64=0 equation: 


Simplifying
9f2 + 48f + 64 = 0

Reorder the terms:
64 + 48f + 9f2 = 0

Solving
64 + 48f + 9f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(8 + 3f)(8 + 3f) = 0


Subproblem 1
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

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 = {-2.666666667, -2.666666667}

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