8n^2+16-42=0

Solution for 8n^2+16-42=0 equation:

Simplifying
8n2 + 16 + -42 = 0

Reorder the terms:
16 + -42 + 8n2 = 0

Combine like terms: 16 + -42 = -26
-26 + 8n2 = 0

Solving
-26 + 8n2 = 0

Solving for variable 'n'.

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

Add '26' to each side of the equation.
-26 + 26 + 8n2 = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 8n2 = 0 + 26
8n2 = 0 + 26

Combine like terms: 0 + 26 = 26
8n2 = 26

Divide each side by '8'.
n2 = 3.25

Simplifying
n2 = 3.25

Take the square root of each side:
n = {-1.802775638, 1.802775638}