3m^2+14m+58=0

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Solution for 3m^2+14m+58=0 equation: 


Simplifying
3m2 + 14m + 58 = 0

Reorder the terms:
58 + 14m + 3m2 = 0

Solving
58 + 14m + 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'.
19.33333333 + 4.666666667m + m2 = 0

Move the constant term to the right:

Add '-19.33333333' to each side of the equation.
19.33333333 + 4.666666667m + -19.33333333 + m2 = 0 + -19.33333333

Reorder the terms:
19.33333333 + -19.33333333 + 4.666666667m + m2 = 0 + -19.33333333

Combine like terms: 19.33333333 + -19.33333333 = 0.00000000
0.00000000 + 4.666666667m + m2 = 0 + -19.33333333
4.666666667m + m2 = 0 + -19.33333333

Combine like terms: 0 + -19.33333333 = -19.33333333
4.666666667m + m2 = -19.33333333

The m term is 4.666666667m.  Take half its coefficient (2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
4.666666667m + 5.444444448 + m2 = -19.33333333 + 5.444444448

Reorder the terms:
5.444444448 + 4.666666667m + m2 = -19.33333333 + 5.444444448

Combine like terms: -19.33333333 + 5.444444448 = -13.888888882
5.444444448 + 4.666666667m + m2 = -13.888888882

Factor a perfect square on the left side:
(m + 2.333333334)(m + 2.333333334) = -13.888888882

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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