4x^2-1=19

Solution for 4x^2-1=19 equation:

Simplifying
4x2 + -1 = 19

Reorder the terms:
-1 + 4x2 = 19

Solving
-1 + 4x2 = 19

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 + 4x2 = 19 + 1

Combine like terms: -1 + 1 = 0
0 + 4x2 = 19 + 1
4x2 = 19 + 1

Combine like terms: 19 + 1 = 20
4x2 = 20

Divide each side by '4'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}