8n^2-57+7=0

Solution for 8n^2-57+7=0 equation:

Simplifying
8n2 + -57 + 7 = 0

Reorder the terms:
-57 + 7 + 8n2 = 0

Combine like terms: -57 + 7 = -50
-50 + 8n2 = 0

Solving
-50 + 8n2 = 0

Solving for variable 'n'.

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

Add '50' to each side of the equation.
-50 + 50 + 8n2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 8n2 = 0 + 50
8n2 = 0 + 50

Combine like terms: 0 + 50 = 50
8n2 = 50

Divide each side by '8'.
n2 = 6.25

Simplifying
n2 = 6.25

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