4n^2-42=7

Solution for 4n^2-42=7 equation:

Simplifying
4n2 + -42 = 7

Reorder the terms:
-42 + 4n2 = 7

Solving
-42 + 4n2 = 7

Solving for variable 'n'.

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

Add '42' to each side of the equation.
-42 + 42 + 4n2 = 7 + 42

Combine like terms: -42 + 42 = 0
0 + 4n2 = 7 + 42
4n2 = 7 + 42

Combine like terms: 7 + 42 = 49
4n2 = 49

Divide each side by '4'.
n2 = 12.25

Simplifying
n2 = 12.25

Take the square root of each side:
n = {-3.5, 3.5}