7x^2-1=419

Solution for 7x^2-1=419 equation:

Simplifying
7x2 + -1 = 419

Reorder the terms:
-1 + 7x2 = 419

Solving
-1 + 7x2 = 419

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 = 419 + 1

Combine like terms: -1 + 1 = 0
0 + 7x2 = 419 + 1
7x2 = 419 + 1

Combine like terms: 419 + 1 = 420
7x2 = 420

Divide each side by '7'.
x2 = 60

Simplifying
x2 = 60

Take the square root of each side:
x = {-7.745966692, 7.745966692}