(-9m^2+5m-1)+(2m^2-5m+8)=

Solution for (-9m^2+5m-1)+(2m^2-5m+8)= equation:

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

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

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

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

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

Reorder the terms:
-1 + 8 + 5m + -5m + -9m2 + 2m2 = 0

Combine like terms: -1 + 8 = 7
7 + 5m + -5m + -9m2 + 2m2 = 0

Combine like terms: 5m + -5m = 0
7 + 0 + -9m2 + 2m2 = 0
7 + -9m2 + 2m2 = 0

Combine like terms: -9m2 + 2m2 = -7m2
7 + -7m2 = 0

Solving
7 + -7m2 = 0

Solving for variable 'm'.

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

Add '-7' to each side of the equation.
7 + -7 + -7m2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -7m2 = 0 + -7
-7m2 = 0 + -7

Combine like terms: 0 + -7 = -7
-7m2 = -7

Divide each side by '-7'.
m2 = 1

Simplifying
m2 = 1

Take the square root of each side:
m = {-1, 1}