Complete the equivalent equation for - 7x-60 = x^2 + 10x

(x+12) (x+5)

Step-by-step explanation:

Formula use: a²+bx+c

Make one side equal to zero:

Original:

-7x-60 = x² + 10x

New:

x² + 17x + 60

Multiply A with C

New:

(1) x x 60 = 60

Find factors of 60 that when added, equal to 17.

New:

10 * 6, 60 * 1, 20 * 3, 5 * 12, 4 * 15

5 times 12 equal 60, but when added equal to 17.

Replace the 17 with 5 and 12

New:

x² + 5x + 12x + 60

Break them off into two equations

New:

x² + 5x l 12x + 60

Divide each equation into it's simpilest form. Make sure the numbers in the () are the same.

New:

x (x + 5) l + 12 (x+5)

Answer: (x+12) (x+5)