2x^2-9=49

Solution for 2x^2-9=49 equation:

Simplifying
2x2 + -9 = 49

Reorder the terms:
-9 + 2x2 = 49

Solving
-9 + 2x2 = 49

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x2 = 49 + 9

Combine like terms: -9 + 9 = 0
0 + 2x2 = 49 + 9
2x2 = 49 + 9

Combine like terms: 49 + 9 = 58
2x2 = 58

Divide each side by '2'.
x2 = 29

Simplifying
x2 = 29

Take the square root of each side:
x = {-5.385164807, 5.385164807}