Complete the equivalent equation for - 7x - 60 = x2 + 10x.

ther are two solutions

1. x = - 5

2. x = - 12

Step-by-step explanation:

-60 + - 1 = - 61

-30 + - 2 = - 32

-20 + - 3 = - 23

-15 + - 4 = - 19

-12 + - 5 = - 17

-10 + - 6 = - 16

-6 + - 10 = - 16

-5 + - 12 = - 17

-4 + - 15 = - 19

-3 + - 20 = - 23

-2 + - 30 = - 32

-1 + - 60 = - 61

1 + 60 = 61

2 + 30 = 32

3 + 20 = 23

4 + 15 = 19

5 + 12 = 17

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 5 and 12

x2 + 5x + 12x + 60

Step-4 : Add up the first 2 terms, pulling out like factors:

x • (x+5)

Add up the last 2 terms, pulling out common factors:

12 • (x+5)

Step-5 : Add up the four terms of step 4:

(x+12) • (x+5)

Which is the desired factorization

the two solutions are:

x = (-17+√49) / 2 = (-17+7) / 2 = - 5.000

or:

x = (-17-√49) / 2 = (-17-7) / 2 = - 12.000

x = - 5, - 12