n(5n-8)=0

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Solution for n(5n-8)=0 equation: 


Simplifying
n(5n + -8) = 0

Reorder the terms:
n(-8 + 5n) = 0
(-8 * n + 5n * n) = 0
(-8n + 5n2) = 0

Solving
-8n + 5n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8 + 5n) = 0


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 '(-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
Solution
n = {0, 1.6}

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