(6m^2+3m-4)+(-2m^2-4m+7)=

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Solution for (6m^2+3m-4)+(-2m^2-4m+7)= equation: 


Simplifying
(6m2 + 3m + -4) + (-2m2 + -4m + 7) = 0

Reorder the terms:
(-4 + 3m + 6m2) + (-2m2 + -4m + 7) = 0

Remove parenthesis around (-4 + 3m + 6m2)
-4 + 3m + 6m2 + (-2m2 + -4m + 7) = 0

Reorder the terms:
-4 + 3m + 6m2 + (7 + -4m + -2m2) = 0

Remove parenthesis around (7 + -4m + -2m2)
-4 + 3m + 6m2 + 7 + -4m + -2m2 = 0

Reorder the terms:
-4 + 7 + 3m + -4m + 6m2 + -2m2 = 0

Combine like terms: -4 + 7 = 3
3 + 3m + -4m + 6m2 + -2m2 = 0

Combine like terms: 3m + -4m = -1m
3 + -1m + 6m2 + -2m2 = 0

Combine like terms: 6m2 + -2m2 = 4m2
3 + -1m + 4m2 = 0

Solving
3 + -1m + 4m2 = 0

Solving for variable 'm'.

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

Divide each side by '4'.
0.75 + -0.25m + m2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25m + -0.75 + m2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25m + m2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25m + m2 = 0 + -0.75
-0.25m + m2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25m + m2 = -0.75

The m term is -0.25m.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25m + 0.015625 + m2 = -0.75 + 0.015625

Reorder the terms:
0.015625 + -0.25m + m2 = -0.75 + 0.015625

Combine like terms: -0.75 + 0.015625 = -0.734375
0.015625 + -0.25m + m2 = -0.734375

Factor a perfect square on the left side:
(m + -0.125)(m + -0.125) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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