y2-12y+35=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 35 and whose sum is -12.

-7,-5

Write the factored form using these integers.

(y-7)(y-5)=0

(y-7)(y-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.

y-7=0

y-5=0

Set the first factor equal to 0.

y-7=0

Add 7 to both sides of the equation.

y=7

y=7

Set the next factor equal to 0.

y-5=0

Add 5 to both sides of the equation.

y=5

y=5

The final solution is all the values that make (y-7)(y-5)=0 true.

y=7,5

Solve for y y^2-12y+35=0