9s^2+48s+64=0

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


Simplifying
9s2 + 48s + 64 = 0

Reorder the terms:
64 + 48s + 9s2 = 0

Solving
64 + 48s + 9s2 = 0

Solving for variable 's'.

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


Subproblem 1
Set the factor '(8 + 3s)' equal to zero and attempt to solve:

Simplifying
8 + 3s = 0

Solving
8 + 3s = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3s = 0 + -8

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

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

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

Simplifying
s = -2.666666667

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

Simplifying
8 + 3s = 0

Solving
8 + 3s = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3s = 0 + -8

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

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

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

Simplifying
s = -2.666666667
Solution
s = {-2.666666667, -2.666666667}

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