y2+10y-24=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 -24 and whose sum is 10.

-2,12

Write the factored form using these integers.

(y-2)(y+12)=0

(y-2)(y+12)=0

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

y-2=0

y+12=0

Set the first factor equal to 0.

y-2=0

Add 2 to both sides of the equation.

y=2

y=2

Set the next factor equal to 0.

y+12=0

Subtract 12 from both sides of the equation.

y=-12

y=-12

The final solution is all the values that make (y-2)(y+12)=0 true.

y=2,-12

Solve for y y^2+10y-24=0