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

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


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

Reorder the terms:
(2 + 5n)(n + -8) = 0

Reorder the terms:
(2 + 5n)(-8 + n) = 0

Multiply (2 + 5n) * (-8 + n)
(2(-8 + n) + 5n * (-8 + n)) = 0
((-8 * 2 + n * 2) + 5n * (-8 + n)) = 0
((-16 + 2n) + 5n * (-8 + n)) = 0
(-16 + 2n + (-8 * 5n + n * 5n)) = 0
(-16 + 2n + (-40n + 5n2)) = 0

Combine like terms: 2n + -40n = -38n
(-16 + -38n + 5n2) = 0

Solving
-16 + -38n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-2 + -5n)(8 + -1n) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve:

Simplifying
8 + -1n = 0

Solving
8 + -1n = 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 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Solution
n = {-0.4, 8}

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