Let's make the first even integer m and the second even integer n. The square of the first, decreased by the second is 130 is:

-n=130 ---> Add n to each side

=130+n ---> Take the square root of each side
m=±

Let's look at the first square number above 130, which is

. <em>m</em> is 12, therefore the next consecutive even integer is 14.

=144
144-14=130
The two consecutive integers are 12 and 14
The answer is 16 because (-2*-2*-2*-2= 16)
<span>Simplifying
8k + 2m = 3m + k
Reorder the terms:
8k + 2m = k + 3m
Solving
8k + 2m = k + 3m
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-1k' to each side of the equation.
8k + -1k + 2m = k + -1k + 3m
Combine like terms: 8k + -1k = 7k
7k + 2m = k + -1k + 3m
Combine like terms: k + -1k = 0
7k + 2m = 0 + 3m
7k + 2m = 3m
Add '-2m' to each side of the equation.
7k + 2m + -2m = 3m + -2m
Combine like terms: 2m + -2m = 0
7k + 0 = 3m + -2m
7k = 3m + -2m
Combine like terms: 3m + -2m = 1m
7k = 1m
Divide each side by '7'.
k = 0.1428571429m
Simplifying
k = 0.1428571429m</span>