If you are solving y 2+2y=48 by completing the square, the next line would be y 2 + 2y - 48 = 0 y 2 + 2y + 4 = 52 y 2 + 2y + 1 = 49

so let's start off by grouping y²+2y=48

(y² + 2y +[?]²) = 48

now, we have a missing value to get a perfect square trinomial.

recall that the middle term is the product of 2 and the other two without the ², so one can say that

low and behold, is 1, now, since all we're doing is borrowing from our very good friend Mr Zero, 0, if we add 1², we also have to subtract 1².

8121 because

130,000 divided by 16 is 8121

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3