17+2m^2-m+m^2+14m=

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Solution for 17+2m^2-m+m^2+14m= equation: 


Simplifying
17 + 2m2 + -1m + m2 + 14m = 0

Reorder the terms:
17 + -1m + 14m + 2m2 + m2 = 0

Combine like terms: -1m + 14m = 13m
17 + 13m + 2m2 + m2 = 0

Combine like terms: 2m2 + m2 = 3m2
17 + 13m + 3m2 = 0

Solving
17 + 13m + 3m2 = 0

Solving for variable 'm'.

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

Divide each side by '3'.
5.666666667 + 4.333333333m + m2 = 0

Move the constant term to the right:

Add '-5.666666667' to each side of the equation.
5.666666667 + 4.333333333m + -5.666666667 + m2 = 0 + -5.666666667

Reorder the terms:
5.666666667 + -5.666666667 + 4.333333333m + m2 = 0 + -5.666666667

Combine like terms: 5.666666667 + -5.666666667 = 0.000000000
0.000000000 + 4.333333333m + m2 = 0 + -5.666666667
4.333333333m + m2 = 0 + -5.666666667

Combine like terms: 0 + -5.666666667 = -5.666666667
4.333333333m + m2 = -5.666666667

The m term is 4.333333333m.  Take half its coefficient (2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
4.333333333m + 4.694444446 + m2 = -5.666666667 + 4.694444446

Reorder the terms:
4.694444446 + 4.333333333m + m2 = -5.666666667 + 4.694444446

Combine like terms: -5.666666667 + 4.694444446 = -0.972222221
4.694444446 + 4.333333333m + m2 = -0.972222221

Factor a perfect square on the left side:
(m + 2.166666667)(m + 2.166666667) = -0.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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