2m^2+11m+26=0

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Solution for 2m^2+11m+26=0 equation:


Simplifying
2m2 + 11m + 26 = 0

Reorder the terms:
26 + 11m + 2m2 = 0

Solving
26 + 11m + 2m2 = 0

Solving for variable 'm'.

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

Divide each side by '2'.
13 + 5.5m + m2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 5.5m + -13 + m2 = 0 + -13

Reorder the terms:
13 + -13 + 5.5m + m2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 5.5m + m2 = 0 + -13
5.5m + m2 = 0 + -13

Combine like terms: 0 + -13 = -13
5.5m + m2 = -13

The m term is 5.5m.  Take half its coefficient (2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
5.5m + 7.5625 + m2 = -13 + 7.5625

Reorder the terms:
7.5625 + 5.5m + m2 = -13 + 7.5625

Combine like terms: -13 + 7.5625 = -5.4375
7.5625 + 5.5m + m2 = -5.4375

Factor a perfect square on the left side:
(m + 2.75)(m + 2.75) = -5.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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