7m^2+3m+10=0

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Solution for 7m^2+3m+10=0 equation: 


Simplifying
7m2 + 3m + 10 = 0

Reorder the terms:
10 + 3m + 7m2 = 0

Solving
10 + 3m + 7m2 = 0

Solving for variable 'm'.

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

Divide each side by '7'.
1.428571429 + 0.4285714286m + m2 = 0

Move the constant term to the right:

Add '-1.428571429' to each side of the equation.
1.428571429 + 0.4285714286m + -1.428571429 + m2 = 0 + -1.428571429

Reorder the terms:
1.428571429 + -1.428571429 + 0.4285714286m + m2 = 0 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + 0.4285714286m + m2 = 0 + -1.428571429
0.4285714286m + m2 = 0 + -1.428571429

Combine like terms: 0 + -1.428571429 = -1.428571429
0.4285714286m + m2 = -1.428571429

The m term is 0.4285714286m.  Take half its coefficient (0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
0.4285714286m + 0.04591836735 + m2 = -1.428571429 + 0.04591836735

Reorder the terms:
0.04591836735 + 0.4285714286m + m2 = -1.428571429 + 0.04591836735

Combine like terms: -1.428571429 + 0.04591836735 = -1.38265306165
0.04591836735 + 0.4285714286m + m2 = -1.38265306165

Factor a perfect square on the left side:
(m + 0.2142857143)(m + 0.2142857143) = -1.38265306165

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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