(-8m^2-3m+3)-(-2m^2-5)=

Solution for (-8m^2-3m+3)-(-2m^2-5)= equation:

Simplifying
(-8m2 + -3m + 3) + -1(-2m2 + -5) = 0

Reorder the terms:
(3 + -3m + -8m2) + -1(-2m2 + -5) = 0

Remove parenthesis around (3 + -3m + -8m2)
3 + -3m + -8m2 + -1(-2m2 + -5) = 0

Reorder the terms:
3 + -3m + -8m2 + -1(-5 + -2m2) = 0
3 + -3m + -8m2 + (-5 * -1 + -2m2 * -1) = 0
3 + -3m + -8m2 + (5 + 2m2) = 0

Reorder the terms:
3 + 5 + -3m + -8m2 + 2m2 = 0

Combine like terms: 3 + 5 = 8
8 + -3m + -8m2 + 2m2 = 0

Combine like terms: -8m2 + 2m2 = -6m2
8 + -3m + -6m2 = 0

Solving
8 + -3m + -6m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
-1.333333333 + 0.5m + m2 = 0

Move the constant term to the right:

Add '1.333333333' to each side of the equation.
-1.333333333 + 0.5m + 1.333333333 + m2 = 0 + 1.333333333

Reorder the terms:
-1.333333333 + 1.333333333 + 0.5m + m2 = 0 + 1.333333333

Combine like terms: -1.333333333 + 1.333333333 = 0.000000000
0.000000000 + 0.5m + m2 = 0 + 1.333333333
0.5m + m2 = 0 + 1.333333333

Combine like terms: 0 + 1.333333333 = 1.333333333
0.5m + m2 = 1.333333333

The m term is 0.5m.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5m + 0.0625 + m2 = 1.333333333 + 0.0625

Reorder the terms:
0.0625 + 0.5m + m2 = 1.333333333 + 0.0625

Combine like terms: 1.333333333 + 0.0625 = 1.395833333
0.0625 + 0.5m + m2 = 1.395833333

Factor a perfect square on the left side:
(m + 0.25)(m + 0.25) = 1.395833333

Calculate the square root of the right side: 1.181453906

Break this problem into two subproblems by setting 
(m + 0.25) equal to 1.181453906 and -1.181453906.

Subproblem 1
m + 0.25 = 1.181453906

Simplifying
m + 0.25 = 1.181453906

Reorder the terms:
0.25 + m = 1.181453906

Solving
0.25 + m = 1.181453906

Solving for variable 'm'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + m = 1.181453906 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + m = 1.181453906 + -0.25
m = 1.181453906 + -0.25

Combine like terms: 1.181453906 + -0.25 = 0.931453906
m = 0.931453906

Simplifying
m = 0.931453906

Subproblem 2
m + 0.25 = -1.181453906

Simplifying
m + 0.25 = -1.181453906

Reorder the terms:
0.25 + m = -1.181453906

Solving
0.25 + m = -1.181453906

Solving for variable 'm'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + m = -1.181453906 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + m = -1.181453906 + -0.25
m = -1.181453906 + -0.25

Combine like terms: -1.181453906 + -0.25 = -1.431453906
m = -1.431453906

Simplifying
m = -1.431453906

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {0.931453906, -1.431453906}