9m^2-(5m-3+m^2)-(3m+5)+m^2=

Solution for 9m^2-(5m-3+m^2)-(3m+5)+m^2= equation:

Simplifying
9m2 + -1(5m + -3 + m2) + -1(3m + 5) + m2 = 0

Reorder the terms:
9m2 + -1(-3 + 5m + m2) + -1(3m + 5) + m2 = 0
9m2 + (-3 * -1 + 5m * -1 + m2 * -1) + -1(3m + 5) + m2 = 0
9m2 + (3 + -5m + -1m2) + -1(3m + 5) + m2 = 0

Reorder the terms:
9m2 + 3 + -5m + -1m2 + -1(5 + 3m) + m2 = 0
9m2 + 3 + -5m + -1m2 + (5 * -1 + 3m * -1) + m2 = 0
9m2 + 3 + -5m + -1m2 + (-5 + -3m) + m2 = 0

Reorder the terms:
3 + -5 + -5m + -3m + 9m2 + -1m2 + m2 = 0

Combine like terms: 3 + -5 = -2
-2 + -5m + -3m + 9m2 + -1m2 + m2 = 0

Combine like terms: -5m + -3m = -8m
-2 + -8m + 9m2 + -1m2 + m2 = 0

Combine like terms: 9m2 + -1m2 = 8m2
-2 + -8m + 8m2 + m2 = 0

Combine like terms: 8m2 + m2 = 9m2
-2 + -8m + 9m2 = 0

Solving
-2 + -8m + 9m2 = 0

Solving for variable 'm'.

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

Divide each side by '9'.
-0.2222222222 + -0.8888888889m + m2 = 0

Move the constant term to the right:

Add '0.2222222222' to each side of the equation.
-0.2222222222 + -0.8888888889m + 0.2222222222 + m2 = 0 + 0.2222222222

Reorder the terms:
-0.2222222222 + 0.2222222222 + -0.8888888889m + m2 = 0 + 0.2222222222

Combine like terms: -0.2222222222 + 0.2222222222 = 0.0000000000
0.0000000000 + -0.8888888889m + m2 = 0 + 0.2222222222
-0.8888888889m + m2 = 0 + 0.2222222222

Combine like terms: 0 + 0.2222222222 = 0.2222222222
-0.8888888889m + m2 = 0.2222222222

The m term is -0.8888888889m.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889m + 0.1975308642 + m2 = 0.2222222222 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889m + m2 = 0.2222222222 + 0.1975308642

Combine like terms: 0.2222222222 + 0.1975308642 = 0.4197530864
0.1975308642 + -0.8888888889m + m2 = 0.4197530864

Factor a perfect square on the left side:
(m + -0.4444444445)(m + -0.4444444445) = 0.4197530864

Calculate the square root of the right side: 0.647883544

Break this problem into two subproblems by setting 
(m + -0.4444444445) equal to 0.647883544 and -0.647883544.

Subproblem 1
m + -0.4444444445 = 0.647883544

Simplifying
m + -0.4444444445 = 0.647883544

Reorder the terms:
-0.4444444445 + m = 0.647883544

Solving
-0.4444444445 + m = 0.647883544

Solving for variable 'm'.

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

Add '0.4444444445' to each side of the equation.
-0.4444444445 + 0.4444444445 + m = 0.647883544 + 0.4444444445

Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000
0.0000000000 + m = 0.647883544 + 0.4444444445
m = 0.647883544 + 0.4444444445

Combine like terms: 0.647883544 + 0.4444444445 = 1.0923279885
m = 1.0923279885

Simplifying
m = 1.0923279885

Subproblem 2
m + -0.4444444445 = -0.647883544

Simplifying
m + -0.4444444445 = -0.647883544

Reorder the terms:
-0.4444444445 + m = -0.647883544

Solving
-0.4444444445 + m = -0.647883544

Solving for variable 'm'.

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

Add '0.4444444445' to each side of the equation.
-0.4444444445 + 0.4444444445 + m = -0.647883544 + 0.4444444445

Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000
0.0000000000 + m = -0.647883544 + 0.4444444445
m = -0.647883544 + 0.4444444445

Combine like terms: -0.647883544 + 0.4444444445 = -0.2034390995
m = -0.2034390995

Simplifying
m = -0.2034390995

Solution
The solution to the problem is based on the solutions
from the subproblems.
m = {1.0923279885, -0.2034390995}