w2+11w+18=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 18 and whose sum is 11.

2,9

Write the factored form using these integers.

(w+2)(w+9)=0

(w+2)(w+9)=0

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

w+2=0

w+9=0

Set the first factor equal to 0.

w+2=0

Subtract 2 from both sides of the equation.

w=-2

w=-2

Set the next factor equal to 0.

w+9=0

Subtract 9 from both sides of the equation.

w=-9

w=-9

The final solution is all the values that make (w+2)(w+9)=0 true.

w=-2,-9

Solve for w w^2+11w+18=0