w2-2w-8=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 -8 and whose sum is -2.

-4,2

Write the factored form using these integers.

(w-4)(w+2)=0

(w-4)(w+2)=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-4=0

w+2=0

Set the first factor equal to 0.

w-4=0

Add 4 to both sides of the equation.

w=4

w=4

Set the next factor equal to 0.

w+2=0

Subtract 2 from both sides of the equation.

w=-2

w=-2

The final solution is all the values that make (w-4)(w+2)=0 true.

w=4,-2

Solve for w w^2-2w-8=0