2x^2-12+9=0

Solution for 2x^2-12+9=0 equation:

Simplifying
2x2 + -12 + 9 = 0

Reorder the terms:
-12 + 9 + 2x2 = 0

Combine like terms: -12 + 9 = -3
-3 + 2x2 = 0

Solving
-3 + 2x2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = 0 + 3
2x2 = 0 + 3

Combine like terms: 0 + 3 = 3
2x2 = 3

Divide each side by '2'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}