v2-5v-50=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 -50 and whose sum is -5.

-10,5

Write the factored form using these integers.

(v-10)(v+5)=0

(v-10)(v+5)=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-10=0

v+5=0

Set the first factor equal to 0.

v-10=0

Add 10 to both sides of the equation.

v=10

v=10

Set the next factor equal to 0.

v+5=0

Subtract 5 from both sides of the equation.

v=-5

v=-5

The final solution is all the values that make (v-10)(v+5)=0 true.

v=10,-5

Solve for v v^2-5v-50=0