0.5x^2-1=4

Solution for 0.5x^2-1=4 equation:

Simplifying
0.5x2 + -1 = 4

Reorder the terms:
-1 + 0.5x2 = 4

Solving
-1 + 0.5x2 = 4

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 + 0.5x2 = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 0.5x2 = 4 + 1
0.5x2 = 4 + 1

Combine like terms: 4 + 1 = 5
0.5x2 = 5

Divide each side by '0.5'.
x2 = 10

Simplifying
x2 = 10

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