Question

Use the zero product property to find the solitions to the equation(x+2)(x+3)=12.

Answer 1

Answer:

(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12  (multiply the binomials)

(x + 2) (x + 3) = x² + 5x + 6 = 12

(x + 2) (x + 3) = x² + 5x + 6-12 = 0  (add the like term and bring the positive 12 to the other side which makes it negative)

x² + 5x + 6 = 0

Using the snowflake method -  (finding the factors of 6 that adds/subtracts to give you 5).  

This method will give you the factors (x + 6)(x - 1)

ZERO PROPERTY RULE:

(x + 6) = 0

x = -6

(x - 1) = 0

x = 1

The two solutions to the equation are -6 and 1.