Question 282198
The key point is setting up the equation:

Let X be the smallest even integer solution
X + 2 will be the next even integer
X + 4 will be the third even integer

So the product of the two smaller ones is 40 less than the square of the largest number.

Here is how that equation forms out:

{{{x * (x + 2) = (x + 4)^2 - 40}}}
{{{x^2 + 2x = (x^2 + 8x + 16) - 40}}} distribute and foil
{{{-6x = -24}}} combining like terms
{{{x = 4}}}

if x = {{{highlight(4)}}}, then the next two even integers are {{{highlight(6)}}} and {{{highlight(8)}}}