8n(5n-2)=0

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Solution for 8n(5n-2)=0 equation: 


Simplifying
8n(5n + -2) = 0

Reorder the terms:
8n(-2 + 5n) = 0
(-2 * 8n + 5n * 8n) = 0
(-16n + 40n2) = 0

Solving
-16n + 40n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n'.
8n(-2 + 5n) = 0

Ignore the factor 8.

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 '(-2 + 5n)' equal to zero and attempt to solve:

Simplifying
-2 + 5n = 0

Solving
-2 + 5n = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5n = 0 + 2
5n = 0 + 2

Combine like terms: 0 + 2 = 2
5n = 2

Divide each side by '5'.
n = 0.4

Simplifying
n = 0.4
Solution
n = {0, 0.4}

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