2x^2+6-x^2=9

Solution for 2x^2+6-x^2=9 equation:

Simplifying
2x2 + 6 + -1x2 = 9

Reorder the terms:
6 + 2x2 + -1x2 = 9

Combine like terms: 2x2 + -1x2 = 1x2
6 + 1x2 = 9

Solving
6 + 1x2 = 9

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x2 = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 1x2 = 9 + -6
1x2 = 9 + -6

Combine like terms: 9 + -6 = 3
1x2 = 3

Divide each side by '1'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}