7n^2-30+8=0

Solution for 7n^2-30+8=0 equation:

Simplifying
7n2 + -30 + 8 = 0

Reorder the terms:
-30 + 8 + 7n2 = 0

Combine like terms: -30 + 8 = -22
-22 + 7n2 = 0

Solving
-22 + 7n2 = 0

Solving for variable 'n'.

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

Add '22' to each side of the equation.
-22 + 22 + 7n2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 7n2 = 0 + 22
7n2 = 0 + 22

Combine like terms: 0 + 22 = 22
7n2 = 22

Divide each side by '7'.
n2 = 3.142857143

Simplifying
n2 = 3.142857143

Take the square root of each side:
n = {-1.772810521, 1.772810521}