(2m^2+3m-4)+(m^2-3m-2)=

Solution for (2m^2+3m-4)+(m^2-3m-2)= equation:

Simplifying
(2m2 + 3m + -4) + (m2 + -3m + -2) = 0

Reorder the terms:
(-4 + 3m + 2m2) + (m2 + -3m + -2) = 0

Remove parenthesis around (-4 + 3m + 2m2)
-4 + 3m + 2m2 + (m2 + -3m + -2) = 0

Reorder the terms:
-4 + 3m + 2m2 + (-2 + -3m + m2) = 0

Remove parenthesis around (-2 + -3m + m2)
-4 + 3m + 2m2 + -2 + -3m + m2 = 0

Reorder the terms:
-4 + -2 + 3m + -3m + 2m2 + m2 = 0

Combine like terms: -4 + -2 = -6
-6 + 3m + -3m + 2m2 + m2 = 0

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

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

Solving
-6 + 3m2 = 0

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + 3m2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3m2 = 0 + 6
3m2 = 0 + 6

Combine like terms: 0 + 6 = 6
3m2 = 6

Divide each side by '3'.
m2 = 2

Simplifying
m2 = 2

Take the square root of each side:
m = {-1.414213562, 1.414213562}