(-4n^2+7)+(5n^2-9)=

Solution for (-4n^2+7)+(5n^2-9)= equation:

Simplifying
(-4n2 + 7) + (5n2 + -9) = 0

Reorder the terms:
(7 + -4n2) + (5n2 + -9) = 0

Remove parenthesis around (7 + -4n2)
7 + -4n2 + (5n2 + -9) = 0

Reorder the terms:
7 + -4n2 + (-9 + 5n2) = 0

Remove parenthesis around (-9 + 5n2)
7 + -4n2 + -9 + 5n2 = 0

Reorder the terms:
7 + -9 + -4n2 + 5n2 = 0

Combine like terms: 7 + -9 = -2
-2 + -4n2 + 5n2 = 0

Combine like terms: -4n2 + 5n2 = 1n2
-2 + 1n2 = 0

Solving
-2 + 1n2 = 0

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 1n2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1n2 = 0 + 2
1n2 = 0 + 2

Combine like terms: 0 + 2 = 2
1n2 = 2

Divide each side by '1'.
n2 = 2

Simplifying
n2 = 2

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