First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using the quadratic formula. (Enter your answers as a comma-separated list. If the solution is not a real number, enter NOT REAL.) 6x − 10 = 2x2

Step 1: Rewrite the equation in standard form by moving all terms to one side:

2x^2 - 6x + 10 = 0

Step 2: Try factoring the quadratic equation. However, in this case, the equation cannot be factored easily.

Step 3: Use the quadratic formula to find the solutions for the equation ax^2 + bx + c = 0, where a = 2, b = -6, and c = 10.

The quadratic formula is given by:
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Substitute the values of a, b, and c:
x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4 \cdot 2 \cdot 10}}{2 \cdot 2}
x = \frac{6 \pm \sqrt{36 - 80}}{4}
x = \frac{6 \pm \sqrt{-44}}{4}

Since the square root is negative, the solutions are complex numbers. Therefore, the solutions are NOT REAL.

\boxed{\text{NOT REAL}}