7x^2-1=20

Solution for 7x^2-1=20 equation:

Simplifying
7x2 + -1 = 20

Reorder the terms:
-1 + 7x2 = 20

Solving
-1 + 7x2 = 20

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 7x2 = 20 + 1

Combine like terms: -1 + 1 = 0
0 + 7x2 = 20 + 1
7x2 = 20 + 1

Combine like terms: 20 + 1 = 21
7x2 = 21

Divide each side by '7'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}