(4m+3)+(6m^2+8)=0

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Solution for (4m+3)+(6m^2+8)=0 equation: 


Simplifying
(4m + 3) + (6m2 + 8) = 0

Reorder the terms:
(3 + 4m) + (6m2 + 8) = 0

Remove parenthesis around (3 + 4m)
3 + 4m + (6m2 + 8) = 0

Reorder the terms:
3 + 4m + (8 + 6m2) = 0

Remove parenthesis around (8 + 6m2)
3 + 4m + 8 + 6m2 = 0

Reorder the terms:
3 + 8 + 4m + 6m2 = 0

Combine like terms: 3 + 8 = 11
11 + 4m + 6m2 = 0

Solving
11 + 4m + 6m2 = 0

Solving for variable 'm'.

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

Divide each side by '6'.
1.833333333 + 0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-1.833333333' to each side of the equation.
1.833333333 + 0.6666666667m + -1.833333333 + m2 = 0 + -1.833333333

Reorder the terms:
1.833333333 + -1.833333333 + 0.6666666667m + m2 = 0 + -1.833333333

Combine like terms: 1.833333333 + -1.833333333 = 0.000000000
0.000000000 + 0.6666666667m + m2 = 0 + -1.833333333
0.6666666667m + m2 = 0 + -1.833333333

Combine like terms: 0 + -1.833333333 = -1.833333333
0.6666666667m + m2 = -1.833333333

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 = -1.833333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667m + m2 = -1.833333333 + 0.1111111112

Combine like terms: -1.833333333 + 0.1111111112 = -1.7222222218
0.1111111112 + 0.6666666667m + m2 = -1.7222222218

Factor a perfect square on the left side:
(m + 0.3333333334)(m + 0.3333333334) = -1.7222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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