3m^2+8m+21=0

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Solution for 3m^2+8m+21=0 equation:


Simplifying
3m2 + 8m + 21 = 0

Reorder the terms:
21 + 8m + 3m2 = 0

Solving
21 + 8m + 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'.
7 + 2.666666667m + m2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 2.666666667m + -7 + m2 = 0 + -7

Reorder the terms:
7 + -7 + 2.666666667m + m2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2.666666667m + m2 = 0 + -7
2.666666667m + m2 = 0 + -7

Combine like terms: 0 + -7 = -7
2.666666667m + m2 = -7

The m term is 2.666666667m.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667m + 1.777777780 + m2 = -7 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667m + m2 = -7 + 1.777777780

Combine like terms: -7 + 1.777777780 = -5.22222222
1.777777780 + 2.666666667m + m2 = -5.22222222

Factor a perfect square on the left side:
(m + 1.333333334)(m + 1.333333334) = -5.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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