-8n(5n-4)=0

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Solution for -8n(5n-4)=0 equation:


Simplifying
-8n(5n + -4) = 0

Reorder the terms:
-8n(-4 + 5n) = 0
(-4 * -8n + 5n * -8n) = 0
(32n + -40n2) = 0

Solving
32n + -40n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n'.
8n(4 + -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 '(4 + -5n)' equal to zero and attempt to solve: Simplifying 4 + -5n = 0 Solving 4 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = 0 + -4 -5n = 0 + -4 Combine like terms: 0 + -4 = -4 -5n = -4 Divide each side by '-5'. n = 0.8 Simplifying n = 0.8

Solution

n = {0, 0.8}

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