m^2+5m+9=0

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Solution for m^2+5m+9=0 equation:


Simplifying
m2 + 5m + 9 = 0

Reorder the terms:
9 + 5m + m2 = 0

Solving
9 + 5m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 5m + -9 + m2 = 0 + -9

Reorder the terms:
9 + -9 + 5m + m2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5m + m2 = 0 + -9
5m + m2 = 0 + -9

Combine like terms: 0 + -9 = -9
5m + m2 = -9

The m term is 5m.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5m + 6.25 + m2 = -9 + 6.25

Reorder the terms:
6.25 + 5m + m2 = -9 + 6.25

Combine like terms: -9 + 6.25 = -2.75
6.25 + 5m + m2 = -2.75

Factor a perfect square on the left side:
(m + 2.5)(m + 2.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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