n(8n+10)=-15

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Solution for n(8n+10)=-15 equation:


Simplifying
n(8n + 10) = -15

Reorder the terms:
n(10 + 8n) = -15
(10 * n + 8n * n) = -15
(10n + 8n2) = -15

Solving
10n + 8n2 = -15

Solving for variable 'n'.

Reorder the terms:
15 + 10n + 8n2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 10n + 8n2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
1.875 + 1.25n + n2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + 1.25n + -1.875 + n2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + 1.25n + n2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + 1.25n + n2 = 0 + -1.875
1.25n + n2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
1.25n + n2 = -1.875

The n term is 1.25n.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25n + 0.390625 + n2 = -1.875 + 0.390625

Reorder the terms:
0.390625 + 1.25n + n2 = -1.875 + 0.390625

Combine like terms: -1.875 + 0.390625 = -1.484375
0.390625 + 1.25n + n2 = -1.484375

Factor a perfect square on the left side:
(n + 0.625)(n + 0.625) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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