32m^2+8m=-3m^2-3m-6

Solution for 32m^2+8m=-3m^2-3m-6 equation:

Simplifying
32m2 + 8m = -3m2 + -3m + -6

Reorder the terms:
8m + 32m2 = -3m2 + -3m + -6

Reorder the terms:
8m + 32m2 = -6 + -3m + -3m2

Solving
8m + 32m2 = -6 + -3m + -3m2

Solving for variable 'm'.

Reorder the terms:
6 + 8m + 3m + 32m2 + 3m2 = -6 + -3m + -3m2 + 6 + 3m + 3m2

Combine like terms: 8m + 3m = 11m
6 + 11m + 32m2 + 3m2 = -6 + -3m + -3m2 + 6 + 3m + 3m2

Combine like terms: 32m2 + 3m2 = 35m2
6 + 11m + 35m2 = -6 + -3m + -3m2 + 6 + 3m + 3m2

Reorder the terms:
6 + 11m + 35m2 = -6 + 6 + -3m + 3m + -3m2 + 3m2

Combine like terms: -6 + 6 = 0
6 + 11m + 35m2 = 0 + -3m + 3m + -3m2 + 3m2
6 + 11m + 35m2 = -3m + 3m + -3m2 + 3m2

Combine like terms: -3m + 3m = 0
6 + 11m + 35m2 = 0 + -3m2 + 3m2
6 + 11m + 35m2 = -3m2 + 3m2

Combine like terms: -3m2 + 3m2 = 0
6 + 11m + 35m2 = 0

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

Divide each side by '35'.
0.1714285714 + 0.3142857143m + m2 = 0

Move the constant term to the right:

Add '-0.1714285714' to each side of the equation.
0.1714285714 + 0.3142857143m + -0.1714285714 + m2 = 0 + -0.1714285714

Reorder the terms:
0.1714285714 + -0.1714285714 + 0.3142857143m + m2 = 0 + -0.1714285714

Combine like terms: 0.1714285714 + -0.1714285714 = 0.0000000000
0.0000000000 + 0.3142857143m + m2 = 0 + -0.1714285714
0.3142857143m + m2 = 0 + -0.1714285714

Combine like terms: 0 + -0.1714285714 = -0.1714285714
0.3142857143m + m2 = -0.1714285714

The m term is 0.3142857143m.  Take half its coefficient (0.1571428572).
Square it (0.02469387757) and add it to both sides.

Add '0.02469387757' to each side of the equation.
0.3142857143m + 0.02469387757 + m2 = -0.1714285714 + 0.02469387757

Reorder the terms:
0.02469387757 + 0.3142857143m + m2 = -0.1714285714 + 0.02469387757

Combine like terms: -0.1714285714 + 0.02469387757 = -0.14673469383
0.02469387757 + 0.3142857143m + m2 = -0.14673469383

Factor a perfect square on the left side:
(m + 0.1571428572)(m + 0.1571428572) = -0.14673469383

Can't calculate square root of the right side.

The solution to this equation could not be determined.