5n(5n+8)=

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Solution for 5n(5n+8)= equation: 


Simplifying
5n(5n + 8) = 0

Reorder the terms:
5n(8 + 5n) = 0
(8 * 5n + 5n * 5n) = 0
(40n + 25n2) = 0

Solving
40n + 25n2 = 0

Solving for variable 'n'.

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