m2+9m+14=0

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 14 and whose sum is 9.

2,7

Write the factored form using these integers.

(m+2)(m+7)=0

(m+2)(m+7)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

m+2=0

m+7=0

Set the first factor equal to 0.

m+2=0

Subtract 2 from both sides of the equation.

m=-2

m=-2

Set the next factor equal to 0.

m+7=0

Subtract 7 from both sides of the equation.

m=-7

m=-7

The final solution is all the values that make (m+2)(m+7)=0 true.

m=-2,-7

Solve using the Square Root Property m^2+9m+14=0