quadratic equation vs equation

quadratic equation and equation both are nouns.

Word	Noun	Adjective	Verb	Adverb
quadratic equation	Yes	No	No	No
equation	Yes	No	No	No

As nouns, equation is a hypernym of quadratic equation; that is, equation is a word with a broader meaning than quadratic equation:

quadratic equation: an equation in which the highest power of an unknown quantity is a square
equation: a mathematical statement that two expressions are equal

quadratic equation (noun)	equation (noun)
an equation in which the highest power of an unknown quantity is a square	the act of regarding as equal
	a mathematical statement that two expressions are equal
	a state of being essentially equal or equivalent; equally balanced