1.5m^2+m+3.5=0

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Solution for 1.5m^2+m+3.5=0 equation:


Simplifying
1.5m2 + m + 3.5 = 0

Reorder the terms:
3.5 + m + 1.5m2 = 0

Solving
3.5 + m + 1.5m2 = 0

Solving for variable 'm'.

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

Divide each side by '1.5'.
2.333333333 + 0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 0.6666666667m + -2.333333333 + m2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 0.6666666667m + m2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 0.6666666667m + m2 = 0 + -2.333333333
0.6666666667m + m2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
0.6666666667m + m2 = -2.333333333

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.6666666667m + 0.25 + m2 = -2.333333333 + 0.25

Reorder the terms:
0.25 + 0.6666666667m + m2 = -2.333333333 + 0.25

Combine like terms: -2.333333333 + 0.25 = -2.083333333
0.25 + 0.6666666667m + m2 = -2.083333333

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -2.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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