2n^2+4n+18=0

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Solution for 2n^2+4n+18=0 equation:


Simplifying
2n2 + 4n + 18 = 0

Reorder the terms:
18 + 4n + 2n2 = 0

Solving
18 + 4n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 2n + n2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + 2n + n2)' equal to zero and attempt to solve: Simplifying 9 + 2n + n2 = 0 Solving 9 + 2n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 2n + -9 + n2 = 0 + -9 Reorder the terms: 9 + -9 + 2n + n2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2n + n2 = 0 + -9 2n + n2 = 0 + -9 Combine like terms: 0 + -9 = -9 2n + n2 = -9 The n term is 2n. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2n + 1 + n2 = -9 + 1 Reorder the terms: 1 + 2n + n2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + 2n + n2 = -8 Factor a perfect square on the left side: (n + 1)(n + 1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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