3x² = 42
Is a PURE quadratic equation because it has no term in x.
A COMPLETE quadratic equation
ax²+bx+c = 0
has three terms:
(1) A term in x², "ax²", where a is some number other than 0.
(2) A term in x, "+bx", where b is some number other than 0.
(3) A term which is just a number, "+c"
If (1) is missing, it is not a quadratic equation at all, but a linear equation.
If (2) is missing, it is a PURE quadratic equation.
If (3) is missing, it is an INCOMPLETE quadratic equation.
Example of a COMPLETE quadratic equation: 2x²-5x-7 = 0
Example of an INCOMPLETE quadratic equation: 3x²-4x = 0
Edwin