19n=4n^2+19n-9

Solution for 19n=4n^2+19n-9 equation:

Simplifying
19n = 4n2 + 19n + -9

Reorder the terms:
19n = -9 + 19n + 4n2

Add '-19n' to each side of the equation.
19n + -19n = -9 + 19n + -19n + 4n2

Combine like terms: 19n + -19n = 0
0 = -9 + 19n + -19n + 4n2

Combine like terms: 19n + -19n = 0
0 = -9 + 0 + 4n2
0 = -9 + 4n2

Solving
0 = -9 + 4n2

Solving for variable 'n'.

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

Add '-4n2' to each side of the equation.
0 + -4n2 = -9 + 4n2 + -4n2
Remove the zero:
-4n2 = -9 + 4n2 + -4n2

Combine like terms: 4n2 + -4n2 = 0
-4n2 = -9 + 0
-4n2 = -9

Divide each side by '-4'.
n2 = 2.25

Simplifying
n2 = 2.25

Take the square root of each side:
n = {-1.5, 1.5}