5n^2-32n-64=0

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Solution for 5n^2-32n-64=0 equation: 


Simplifying
5n2 + -32n + -64 = 0

Reorder the terms:
-64 + -32n + 5n2 = 0

Solving
-64 + -32n + 5n2 = 0

Solving for variable 'n'.

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


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

Simplifying
-8 + -5n = 0

Solving
-8 + -5n = 0

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

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

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

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

Divide each side by '-5'.
n = -1.6

Simplifying
n = -1.6

Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve:

Simplifying
8 + -1n = 0

Solving
8 + -1n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Solution
n = {-1.6, 8}

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