(2x^2-3)=49

Solution for (2x^2-3)=49 equation:

Simplifying
(2x2 + -3) = 49

Reorder the terms:
(-3 + 2x2) = 49

Remove parenthesis around (-3 + 2x2)
-3 + 2x2 = 49

Solving
-3 + 2x2 = 49

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x2 = 49 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = 49 + 3
2x2 = 49 + 3

Combine like terms: 49 + 3 = 52
2x2 = 52

Divide each side by '2'.
x2 = 26

Simplifying
x2 = 26

Take the square root of each side:
x = {-5.099019514, 5.099019514}