4n^2-6=19

Solution for 4n^2-6=19 equation:

Simplifying
4n2 + -6 = 19

Reorder the terms:
-6 + 4n2 = 19

Solving
-6 + 4n2 = 19

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 4n2 = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 4n2 = 19 + 6
4n2 = 19 + 6

Combine like terms: 19 + 6 = 25
4n2 = 25

Divide each side by '4'.
n2 = 6.25

Simplifying
n2 = 6.25

Take the square root of each side:
n = {-2.5, 2.5}