2x^2-19=1

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

Simplifying
2x2 + -19 = 1

Reorder the terms:
-19 + 2x2 = 1

Solving
-19 + 2x2 = 1

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 2x2 = 1 + 19

Combine like terms: -19 + 19 = 0
0 + 2x2 = 1 + 19
2x2 = 1 + 19

Combine like terms: 1 + 19 = 20
2x2 = 20

Divide each side by '2'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}