v2+2v-48=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 -48 and whose sum is 2.

-6,8

Write the factored form using these integers.

(v-6)(v+8)=0

(v-6)(v+8)=0

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

v-6=0

v+8=0

Set the first factor equal to 0.

v-6=0

Add 6 to both sides of the equation.

v=6

v=6

Set the next factor equal to 0.

v+8=0

Subtract 8 from both sides of the equation.

v=-8

v=-8

The final solution is all the values that make (v-6)(v+8)=0 true.

v=6,-8

Solve using the Square Root Property v^2+2v-48=0