7a^2-1=41

Solution for 7a^2-1=41 equation:

Simplifying
7a2 + -1 = 41

Reorder the terms:
-1 + 7a2 = 41

Solving
-1 + 7a2 = 41

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 7a2 = 41 + 1

Combine like terms: -1 + 1 = 0
0 + 7a2 = 41 + 1
7a2 = 41 + 1

Combine like terms: 41 + 1 = 42
7a2 = 42

Divide each side by '7'.
a2 = 6

Simplifying
a2 = 6

Take the square root of each side:
a = {-2.449489743, 2.449489743}