15m^2+10m+16=0

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Solution for 15m^2+10m+16=0 equation:


Simplifying
15m2 + 10m + 16 = 0

Reorder the terms:
16 + 10m + 15m2 = 0

Solving
16 + 10m + 15m2 = 0

Solving for variable 'm'.

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

Divide each side by '15'.
1.066666667 + 0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-1.066666667' to each side of the equation.
1.066666667 + 0.6666666667m + -1.066666667 + m2 = 0 + -1.066666667

Reorder the terms:
1.066666667 + -1.066666667 + 0.6666666667m + m2 = 0 + -1.066666667

Combine like terms: 1.066666667 + -1.066666667 = 0.000000000
0.000000000 + 0.6666666667m + m2 = 0 + -1.066666667
0.6666666667m + m2 = 0 + -1.066666667

Combine like terms: 0 + -1.066666667 = -1.066666667
0.6666666667m + m2 = -1.066666667

The m term is 0.6666666667m.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667m + 0.1111111112 + m2 = -1.066666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667m + m2 = -1.066666667 + 0.1111111112

Combine like terms: -1.066666667 + 0.1111111112 = -0.9555555558
0.1111111112 + 0.6666666667m + m2 = -0.9555555558

Factor a perfect square on the left side:
(m + 0.3333333334)(m + 0.3333333334) = -0.9555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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