5(n-8)4n=

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


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

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

Reorder the terms for easier multiplication:
5 * 4n(-8 + n) = 0

Multiply 5 * 4
20n(-8 + n) = 0
(-8 * 20n + n * 20n) = 0
(-160n + 20n2) = 0

Solving
-160n + 20n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '20n'.
20n(-8 + n) = 0

Ignore the factor 20.

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 + n)' equal to zero and attempt to solve: Simplifying -8 + n = 0 Solving -8 + n = 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 + n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + n = 0 + 8 n = 0 + 8 Combine like terms: 0 + 8 = 8 n = 8 Simplifying n = 8

Solution

n = {0, 8}

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