(m^2-6m+4)+(7m^2+2m-8)=

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

Simplifying
(m2 + -6m + 4) + (7m2 + 2m + -8) = 0

Reorder the terms:
(4 + -6m + m2) + (7m2 + 2m + -8) = 0

Remove parenthesis around (4 + -6m + m2)
4 + -6m + m2 + (7m2 + 2m + -8) = 0

Reorder the terms:
4 + -6m + m2 + (-8 + 2m + 7m2) = 0

Remove parenthesis around (-8 + 2m + 7m2)
4 + -6m + m2 + -8 + 2m + 7m2 = 0

Reorder the terms:
4 + -8 + -6m + 2m + m2 + 7m2 = 0

Combine like terms: 4 + -8 = -4
-4 + -6m + 2m + m2 + 7m2 = 0

Combine like terms: -6m + 2m = -4m
-4 + -4m + m2 + 7m2 = 0

Combine like terms: m2 + 7m2 = 8m2
-4 + -4m + 8m2 = 0

Solving
-4 + -4m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -1m + 2m2) = 0

Factor a trinomial.
4((-1 + -2m)(1 + -1m)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -2m)' equal to zero and attempt to solve:

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1

Combine like terms: 0 + -1 = -1
-1m = -1

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {-0.5, 1}