2x^2-1=47

Solution for 2x^2-1=47 equation:

Simplifying
2x2 + -1 = 47

Reorder the terms:
-1 + 2x2 = 47

Solving
-1 + 2x2 = 47

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 + 2x2 = 47 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2 = 47 + 1
2x2 = 47 + 1

Combine like terms: 47 + 1 = 48
2x2 = 48

Divide each side by '2'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}