7n^2-42=-35

Solution for 7n^2-42=-35 equation:

Simplifying
7n2 + -42 = -35

Reorder the terms:
-42 + 7n2 = -35

Solving
-42 + 7n2 = -35

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 + 7n2 = -35 + 42

Combine like terms: -42 + 42 = 0
0 + 7n2 = -35 + 42
7n2 = -35 + 42

Combine like terms: -35 + 42 = 7
7n2 = 7

Divide each side by '7'.
n2 = 1

Simplifying
n2 = 1

Take the square root of each side:
n = {-1, 1}