8m^2+17m+27=0

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Solution for 8m^2+17m+27=0 equation:


Simplifying
8m2 + 17m + 27 = 0

Reorder the terms:
27 + 17m + 8m2 = 0

Solving
27 + 17m + 8m2 = 0

Solving for variable 'm'.

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

Divide each side by '8'.
3.375 + 2.125m + m2 = 0

Move the constant term to the right:

Add '-3.375' to each side of the equation.
3.375 + 2.125m + -3.375 + m2 = 0 + -3.375

Reorder the terms:
3.375 + -3.375 + 2.125m + m2 = 0 + -3.375

Combine like terms: 3.375 + -3.375 = 0.000
0.000 + 2.125m + m2 = 0 + -3.375
2.125m + m2 = 0 + -3.375

Combine like terms: 0 + -3.375 = -3.375
2.125m + m2 = -3.375

The m term is 2.125m.  Take half its coefficient (1.0625).
Square it (1.12890625) and add it to both sides.

Add '1.12890625' to each side of the equation.
2.125m + 1.12890625 + m2 = -3.375 + 1.12890625

Reorder the terms:
1.12890625 + 2.125m + m2 = -3.375 + 1.12890625

Combine like terms: -3.375 + 1.12890625 = -2.24609375
1.12890625 + 2.125m + m2 = -2.24609375

Factor a perfect square on the left side:
(m + 1.0625)(m + 1.0625) = -2.24609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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