-5n(4n-1)=0

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Solution for -5n(4n-1)=0 equation:


Simplifying
-5n(4n + -1) = 0

Reorder the terms:
-5n(-1 + 4n) = 0
(-1 * -5n + 4n * -5n) = 0
(5n + -20n2) = 0

Solving
5n + -20n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '5n'.
5n(1 + -4n) = 0

Ignore the factor 5.

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 '(1 + -4n)' equal to zero and attempt to solve: Simplifying 1 + -4n = 0 Solving 1 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = 0 + -1 -4n = 0 + -1 Combine like terms: 0 + -1 = -1 -4n = -1 Divide each side by '-4'. n = 0.25 Simplifying n = 0.25

Solution

n = {0, 0.25}

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