Question

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

Answer 1

(x+12)(x+5)

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)