n^2+16n+64=

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Solution for n^2+16n+64= equation:


Simplifying
n2 + 16n + 64 = 0

Reorder the terms:
64 + 16n + n2 = 0

Solving
64 + 16n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + n)(8 + n) = 0

Subproblem 1

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

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 = {-8, -8}

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