8n^2+16n+18=0

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Solution for 8n^2+16n+18=0 equation:


Simplifying
8n2 + 16n + 18 = 0

Reorder the terms:
18 + 16n + 8n2 = 0

Solving
18 + 16n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 8n + 4n2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + 8n + 4n2)' equal to zero and attempt to solve: Simplifying 9 + 8n + 4n2 = 0 Solving 9 + 8n + 4n2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + 2n + n2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 2n + -2.25 + n2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 2n + n2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 2n + n2 = 0 + -2.25 2n + n2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 2n + n2 = -2.25 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 = -2.25 + 1 Reorder the terms: 1 + 2n + n2 = -2.25 + 1 Combine like terms: -2.25 + 1 = -1.25 1 + 2n + n2 = -1.25 Factor a perfect square on the left side: (n + 1)(n + 1) = -1.25 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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