n^2=-17n

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Solution for n^2=-17n equation:


Simplifying
n2 = -17n

Solving
n2 = -17n

Solving for variable 'n'.

Reorder the terms:
17n + n2 = -17n + 17n

Combine like terms: -17n + 17n = 0
17n + n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(17 + n) = 0

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 '(17 + n)' equal to zero and attempt to solve: Simplifying 17 + n = 0 Solving 17 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + n = 0 + -17 n = 0 + -17 Combine like terms: 0 + -17 = -17 n = -17 Simplifying n = -17

Solution

n = {0, -17}

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