2x^2-1-4=0

Solution for 2x^2-1-4=0 equation:

Simplifying
2x2 + -1 + -4 = 0

Reorder the terms:
-1 + -4 + 2x2 = 0

Combine like terms: -1 + -4 = -5
-5 + 2x2 = 0

Solving
-5 + 2x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x2 = 0 + 5
2x2 = 0 + 5

Combine like terms: 0 + 5 = 5
2x2 = 5

Divide each side by '2'.
x2 = 2.5

Simplifying
x2 = 2.5

Take the square root of each side:
x = {-1.58113883, 1.58113883}