A quadratic equation is an equation involving only non-negative powers of the unknown of degee 2 and less. Any quadratic equation can be written in the form ax2+bx+c=0 where b and c can be 0 but not a.
Notice the word "can", The equation 3x2−5x=x2+2x−3 is not exactly of that form but by subtracting x2+2x−3 from both sides we get 2x2−7x+3=0 which is so 3x2−5x=x2+2x−3 IS a quadratic equation.
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