(8m^2+9m)-(-8m^2-7m+8)=

Solution for (8m^2+9m)-(-8m^2-7m+8)= equation:

Simplifying
(8m2 + 9m) + -1(-8m2 + -7m + 8) = 0

Reorder the terms:
(9m + 8m2) + -1(-8m2 + -7m + 8) = 0

Remove parenthesis around (9m + 8m2)
9m + 8m2 + -1(-8m2 + -7m + 8) = 0

Reorder the terms:
9m + 8m2 + -1(8 + -7m + -8m2) = 0
9m + 8m2 + (8 * -1 + -7m * -1 + -8m2 * -1) = 0
9m + 8m2 + (-8 + 7m + 8m2) = 0

Reorder the terms:
-8 + 9m + 7m + 8m2 + 8m2 = 0

Combine like terms: 9m + 7m = 16m
-8 + 16m + 8m2 + 8m2 = 0

Combine like terms: 8m2 + 8m2 = 16m2
-8 + 16m + 16m2 = 0

Solving
-8 + 16m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + 2m + 2m2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-1 + 2m + 2m2)' equal to zero and attempt to solve:

Simplifying
-1 + 2m + 2m2 = 0

Solving
-1 + 2m + 2m2 = 0

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

Divide each side by '2'.
-0.5 + m + m2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + m + 0.5 + m2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + m + m2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + m + m2 = 0 + 0.5
m + m2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
m + m2 = 0.5

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + m2 = 0.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + m2 = 0.5 + 0.25

Combine like terms: 0.5 + 0.25 = 0.75
1.25 + m2 = 0.75

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = 0.75

Calculate the square root of the right side: 0.866025404

Break this problem into two subproblems by setting 
(m + 0.5) equal to 0.866025404 and -0.866025404.

Subproblem 1
m + 0.5 = 0.866025404

Simplifying
m + 0.5 = 0.866025404

Reorder the terms:
0.5 + m = 0.866025404

Solving
0.5 + m = 0.866025404

Solving for variable 'm'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + m = 0.866025404 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + m = 0.866025404 + -0.5
m = 0.866025404 + -0.5

Combine like terms: 0.866025404 + -0.5 = 0.366025404
m = 0.366025404

Simplifying
m = 0.366025404

Subproblem 2
m + 0.5 = -0.866025404

Simplifying
m + 0.5 = -0.866025404

Reorder the terms:
0.5 + m = -0.866025404

Solving
0.5 + m = -0.866025404

Solving for variable 'm'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + m = -0.866025404 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + m = -0.866025404 + -0.5
m = -0.866025404 + -0.5

Combine like terms: -0.866025404 + -0.5 = -1.366025404
m = -1.366025404

Simplifying
m = -1.366025404

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {0.366025404, -1.366025404}
Solution
m = {0.366025404, -1.366025404}