16n^2-100+24=0

Solution for 16n^2-100+24=0 equation:

Simplifying
16n2 + -100 + 24 = 0

Reorder the terms:
-100 + 24 + 16n2 = 0

Combine like terms: -100 + 24 = -76
-76 + 16n2 = 0

Solving
-76 + 16n2 = 0

Solving for variable 'n'.

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

Add '76' to each side of the equation.
-76 + 76 + 16n2 = 0 + 76

Combine like terms: -76 + 76 = 0
0 + 16n2 = 0 + 76
16n2 = 0 + 76

Combine like terms: 0 + 76 = 76
16n2 = 76

Divide each side by '16'.
n2 = 4.75

Simplifying
n2 = 4.75

Take the square root of each side:
n = {-2.179449472, 2.179449472}