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When it has no squares (exponent of 2).
If an equation of one variable can be rearranged into a polynomial a*x^2 + b*x + c = 0, where x is the variable, and [a,b, & c] are constants and a does not equal zero, then it is a quadratic equation.
If it has more than one variable, or higher powers of the variable x, then it is not a quadratic equation. See related link.
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