-5n^2-26+40=0

Solution for -5n^2-26+40=0 equation:

Simplifying
-5n2 + -26 + 40 = 0

Reorder the terms:
-26 + 40 + -5n2 = 0

Combine like terms: -26 + 40 = 14
14 + -5n2 = 0

Solving
14 + -5n2 = 0

Solving for variable 'n'.

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

Add '-14' to each side of the equation.
14 + -14 + -5n2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5n2 = 0 + -14
-5n2 = 0 + -14

Combine like terms: 0 + -14 = -14
-5n2 = -14

Divide each side by '-5'.
n2 = 2.8

Simplifying
n2 = 2.8

Take the square root of each side:
n = {-1.673320053, 1.673320053}