5.6+7.2(m^2-2m+7)-m^2=

Solution for 5.6+7.2(m^2-2m+7)-m^2= equation:

Simplifying
5.6 + 7.2(m2 + -2m + 7) + -1m2 = 0

Reorder the terms:
5.6 + 7.2(7 + -2m + m2) + -1m2 = 0
5.6 + (7 * 7.2 + -2m * 7.2 + m2 * 7.2) + -1m2 = 0
5.6 + (50.4 + -14.4m + 7.2m2) + -1m2 = 0

Combine like terms: 5.6 + 50.4 = 56
56 + -14.4m + 7.2m2 + -1m2 = 0

Combine like terms: 7.2m2 + -1m2 = 6.2m2
56 + -14.4m + 6.2m2 = 0

Solving
56 + -14.4m + 6.2m2 = 0

Solving for variable 'm'.

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

Divide each side by '6.2'.
9.032258065 + -2.322580645m + m2 = 0

Move the constant term to the right:

Add '-9.032258065' to each side of the equation.
9.032258065 + -2.322580645m + -9.032258065 + m2 = 0 + -9.032258065

Reorder the terms:
9.032258065 + -9.032258065 + -2.322580645m + m2 = 0 + -9.032258065

Combine like terms: 9.032258065 + -9.032258065 = 0.000000000
0.000000000 + -2.322580645m + m2 = 0 + -9.032258065
-2.322580645m + m2 = 0 + -9.032258065

Combine like terms: 0 + -9.032258065 = -9.032258065
-2.322580645m + m2 = -9.032258065

The m term is -2.322580645m.  Take half its coefficient (-1.161290323).
Square it (1.348595214) and add it to both sides.

Add '1.348595214' to each side of the equation.
-2.322580645m + 1.348595214 + m2 = -9.032258065 + 1.348595214

Reorder the terms:
1.348595214 + -2.322580645m + m2 = -9.032258065 + 1.348595214

Combine like terms: -9.032258065 + 1.348595214 = -7.683662851
1.348595214 + -2.322580645m + m2 = -7.683662851

Factor a perfect square on the left side:
(m + -1.161290323)(m + -1.161290323) = -7.683662851

Can't calculate square root of the right side.

The solution to this equation could not be determined.