v2+v-12=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 -12 and whose sum is 1.

-3,4

Write the factored form using these integers.

(v-3)(v+4)=0

(v-3)(v+4)=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-3=0

v+4=0

Set the first factor equal to 0.

v-3=0

Add 3 to both sides of the equation.

v=3

v=3

Set the next factor equal to 0.

v+4=0

Subtract 4 from both sides of the equation.

v=-4

v=-4

The final solution is all the values that make (v-3)(v+4)=0 true.

v=3,-4

Solve for v v^2+v-12=0