[(8m^2+4m-7)-(8m^2-5m+9)]-(m^2+m+6)=

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Solution for [(8m^2+4m-7)-(8m^2-5m+9)]-(m^2+m+6)= equation: 


Simplifying
[(8m2 + 4m + -7) + -1(8m2 + -5m + 9)] + -1(m2 + m + 6) = 0

Reorder the terms:
[(-7 + 4m + 8m2) + -1(8m2 + -5m + 9)] + -1(m2 + m + 6) = 0

Remove parenthesis around (-7 + 4m + 8m2)
[-7 + 4m + 8m2 + -1(8m2 + -5m + 9)] + -1(m2 + m + 6) = 0

Reorder the terms:
[-7 + 4m + 8m2 + -1(9 + -5m + 8m2)] + -1(m2 + m + 6) = 0
[-7 + 4m + 8m2 + (9 * -1 + -5m * -1 + 8m2 * -1)] + -1(m2 + m + 6) = 0
[-7 + 4m + 8m2 + (-9 + 5m + -8m2)] + -1(m2 + m + 6) = 0

Reorder the terms:
[-7 + -9 + 4m + 5m + 8m2 + -8m2] + -1(m2 + m + 6) = 0

Combine like terms: -7 + -9 = -16
[-16 + 4m + 5m + 8m2 + -8m2] + -1(m2 + m + 6) = 0

Combine like terms: 4m + 5m = 9m
[-16 + 9m + 8m2 + -8m2] + -1(m2 + m + 6) = 0

Combine like terms: 8m2 + -8m2 = 0
[-16 + 9m + 0] + -1(m2 + m + 6) = 0
[-16 + 9m] + -1(m2 + m + 6) = 0

Remove brackets around [-16 + 9m]
-16 + 9m + -1(m2 + m + 6) = 0

Reorder the terms:
-16 + 9m + -1(6 + m + m2) = 0
-16 + 9m + (6 * -1 + m * -1 + m2 * -1) = 0
-16 + 9m + (-6 + -1m + -1m2) = 0

Reorder the terms:
-16 + -6 + 9m + -1m + -1m2 = 0

Combine like terms: -16 + -6 = -22
-22 + 9m + -1m + -1m2 = 0

Combine like terms: 9m + -1m = 8m
-22 + 8m + -1m2 = 0

Solving
-22 + 8m + -1m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
22 + -8m + m2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -8m + -22 + m2 = 0 + -22

Reorder the terms:
22 + -22 + -8m + m2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -8m + m2 = 0 + -22
-8m + m2 = 0 + -22

Combine like terms: 0 + -22 = -22
-8m + m2 = -22

The m term is -8m.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8m + 16 + m2 = -22 + 16

Reorder the terms:
16 + -8m + m2 = -22 + 16

Combine like terms: -22 + 16 = -6
16 + -8m + m2 = -6

Factor a perfect square on the left side:
(m + -4)(m + -4) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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