2x^2-6+4=0

Solution for 2x^2-6+4=0 equation:

Simplifying
2x2 + -6 + 4 = 0

Reorder the terms:
-6 + 4 + 2x2 = 0

Combine like terms: -6 + 4 = -2
-2 + 2x2 = 0

Solving
-2 + 2x2 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}