2x^2+49=65

Solution for 2x^2+49=65 equation:

Simplifying
2x2 + 49 = 65

Reorder the terms:
49 + 2x2 = 65

Solving
49 + 2x2 = 65

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 = 65 + -49

Combine like terms: 49 + -49 = 0
0 + 2x2 = 65 + -49
2x2 = 65 + -49

Combine like terms: 65 + -49 = 16
2x2 = 16

Divide each side by '2'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}