-8n(8n+8)+6n(n-4)=

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Solution for -8n(8n+8)+6n(n-4)= equation: 


Simplifying
-8n(8n + 8) + 6n(n + -4) = 0

Reorder the terms:
-8n(8 + 8n) + 6n(n + -4) = 0
(8 * -8n + 8n * -8n) + 6n(n + -4) = 0
(-64n + -64n2) + 6n(n + -4) = 0

Reorder the terms:
-64n + -64n2 + 6n(-4 + n) = 0
-64n + -64n2 + (-4 * 6n + n * 6n) = 0
-64n + -64n2 + (-24n + 6n2) = 0

Reorder the terms:
-64n + -24n + -64n2 + 6n2 = 0

Combine like terms: -64n + -24n = -88n
-88n + -64n2 + 6n2 = 0

Combine like terms: -64n2 + 6n2 = -58n2
-88n + -58n2 = 0

Solving
-88n + -58n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-2n'.
-2n(44 + 29n) = 0

Ignore the factor -2.

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(44 + 29n)' equal to zero and attempt to solve:

Simplifying
44 + 29n = 0

Solving
44 + 29n = 0

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

Add '-44' to each side of the equation.
44 + -44 + 29n = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 29n = 0 + -44
29n = 0 + -44

Combine like terms: 0 + -44 = -44
29n = -44

Divide each side by '29'.
n = -1.517241379

Simplifying
n = -1.517241379
Solution
n = {0, -1.517241379}

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