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

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

Simplifying
[(8m2 + 5m + -2) + -1(8m + -2m + 9)] + -1(m2 + m + 6) = 0

Reorder the terms:
[(-2 + 5m + 8m2) + -1(8m + -2m + 9)] + -1(m2 + m + 6) = 0

Remove parenthesis around (-2 + 5m + 8m2)
[-2 + 5m + 8m2 + -1(8m + -2m + 9)] + -1(m2 + m + 6) = 0

Reorder the terms:
[-2 + 5m + 8m2 + -1(9 + 8m + -2m)] + -1(m2 + m + 6) = 0

Combine like terms: 8m + -2m = 6m
[-2 + 5m + 8m2 + -1(9 + 6m)] + -1(m2 + m + 6) = 0
[-2 + 5m + 8m2 + (9 * -1 + 6m * -1)] + -1(m2 + m + 6) = 0
[-2 + 5m + 8m2 + (-9 + -6m)] + -1(m2 + m + 6) = 0

Reorder the terms:
[-2 + -9 + 5m + -6m + 8m2] + -1(m2 + m + 6) = 0

Combine like terms: -2 + -9 = -11
[-11 + 5m + -6m + 8m2] + -1(m2 + m + 6) = 0

Combine like terms: 5m + -6m = -1m
[-11 + -1m + 8m2] + -1(m2 + m + 6) = 0

Remove brackets around [-11 + -1m + 8m2]
-11 + -1m + 8m2 + -1(m2 + m + 6) = 0

Reorder the terms:
-11 + -1m + 8m2 + -1(6 + m + m2) = 0
-11 + -1m + 8m2 + (6 * -1 + m * -1 + m2 * -1) = 0
-11 + -1m + 8m2 + (-6 + -1m + -1m2) = 0

Reorder the terms:
-11 + -6 + -1m + -1m + 8m2 + -1m2 = 0

Combine like terms: -11 + -6 = -17
-17 + -1m + -1m + 8m2 + -1m2 = 0

Combine like terms: -1m + -1m = -2m
-17 + -2m + 8m2 + -1m2 = 0

Combine like terms: 8m2 + -1m2 = 7m2
-17 + -2m + 7m2 = 0

Solving
-17 + -2m + 7m2 = 0

Solving for variable 'm'.

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

Divide each side by '7'.
-2.428571429 + -0.2857142857m + m2 = 0

Move the constant term to the right:

Add '2.428571429' to each side of the equation.
-2.428571429 + -0.2857142857m + 2.428571429 + m2 = 0 + 2.428571429

Reorder the terms:
-2.428571429 + 2.428571429 + -0.2857142857m + m2 = 0 + 2.428571429

Combine like terms: -2.428571429 + 2.428571429 = 0.000000000
0.000000000 + -0.2857142857m + m2 = 0 + 2.428571429
-0.2857142857m + m2 = 0 + 2.428571429

Combine like terms: 0 + 2.428571429 = 2.428571429
-0.2857142857m + m2 = 2.428571429

The m term is -0.2857142857m.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857m + 0.02040816328 + m2 = 2.428571429 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857m + m2 = 2.428571429 + 0.02040816328

Combine like terms: 2.428571429 + 0.02040816328 = 2.44897959228
0.02040816328 + -0.2857142857m + m2 = 2.44897959228

Factor a perfect square on the left side:
(m + -0.1428571429)(m + -0.1428571429) = 2.44897959228

Calculate the square root of the right side: 1.564921593

Break this problem into two subproblems by setting 
(m + -0.1428571429) equal to 1.564921593 and -1.564921593.

Subproblem 1
m + -0.1428571429 = 1.564921593

Simplifying
m + -0.1428571429 = 1.564921593

Reorder the terms:
-0.1428571429 + m = 1.564921593

Solving
-0.1428571429 + m = 1.564921593

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '0.1428571429' to each side of the equation.
-0.1428571429 + 0.1428571429 + m = 1.564921593 + 0.1428571429

Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000
0.0000000000 + m = 1.564921593 + 0.1428571429
m = 1.564921593 + 0.1428571429

Combine like terms: 1.564921593 + 0.1428571429 = 1.7077787359
m = 1.7077787359

Simplifying
m = 1.7077787359

Subproblem 2
m + -0.1428571429 = -1.564921593

Simplifying
m + -0.1428571429 = -1.564921593

Reorder the terms:
-0.1428571429 + m = -1.564921593

Solving
-0.1428571429 + m = -1.564921593

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '0.1428571429' to each side of the equation.
-0.1428571429 + 0.1428571429 + m = -1.564921593 + 0.1428571429

Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000
0.0000000000 + m = -1.564921593 + 0.1428571429
m = -1.564921593 + 0.1428571429

Combine like terms: -1.564921593 + 0.1428571429 = -1.4220644501
m = -1.4220644501

Simplifying
m = -1.4220644501

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {1.7077787359, -1.4220644501}