(2x^2-9)=0

Solution for (2x^2-9)=0 equation:

Simplifying
(2x2 + -9) = 0

Reorder the terms:
(-9 + 2x2) = 0

Remove parenthesis around (-9 + 2x2)
-9 + 2x2 = 0

Solving
-9 + 2x2 = 0

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 = 0 + 9

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

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

Divide each side by '2'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}