Quadratic Equations - Definition & Examples

To check whether two quadratic equations are equivalent, the easiest way is usually to write each equation in standard form and then compare. However, remember that some pairs, like $x^2 + x = 0$ and $3x^2 + 3x = 0$, are equivalent even though they look different, because you can get from one to the other by multiplying or dividing by $3$.