2x^2-49=0

Solution for 2x^2-49=0 equation:

Simplifying
2x2 + -49 = 0

Reorder the terms:
-49 + 2x2 = 0

Solving
-49 + 2x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 2x2 = 0 + 49

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

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

Divide each side by '2'.
x2 = 24.5

Simplifying
x2 = 24.5

Take the square root of each side:
x = {-4.949747468, 4.949747468}