2m^2+3m+6=0

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Solution for 2m^2+3m+6=0 equation:


Simplifying
2m2 + 3m + 6 = 0

Reorder the terms:
6 + 3m + 2m2 = 0

Solving
6 + 3m + 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'.
3 + 1.5m + m2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 1.5m + -3 + m2 = 0 + -3

Reorder the terms:
3 + -3 + 1.5m + m2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 1.5m + m2 = 0 + -3
1.5m + m2 = 0 + -3

Combine like terms: 0 + -3 = -3
1.5m + m2 = -3

The m term is 1.5m.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5m + 0.5625 + m2 = -3 + 0.5625

Reorder the terms:
0.5625 + 1.5m + m2 = -3 + 0.5625

Combine like terms: -3 + 0.5625 = -2.4375
0.5625 + 1.5m + m2 = -2.4375

Factor a perfect square on the left side:
(m + 0.75)(m + 0.75) = -2.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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