EXPLANATION
Given the equation 6 - 2x^2 = -2
Adding -6 to both sides
6 - 6 - 2x^2 = -2 -6
Simplifying:
-2x^2 = -8
Dividing both sides by -2:
x^2 = -8/-2
Simplifying the fraction:
x^2=4
Applying the square root to both sides:
![x_1,x_2=\pm\sqrt[]{4}](https://img.qammunity.org/2023/formulas/mathematics/college/91oo8dnr8ehc9qkf436q2j9z4e3frp87x6.png)
Solving the square root:

The answer is +- 2