Answer:
- yes, as written
 - no, as simplified
 
Explanation:
The equation can be simplified by subtracting 2x² from both sides. Doing that leaves a linear (not quadratic) equation:
 y = 3x
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A quadratic equation is a polynomial equation such that the exponents of the variables in a term have a maximum total of 2. Here, the terms 2x² match that requirement, making this a quadratic equation.