x2+12x+20=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 20 and whose sum is 12.

2,10

Write the factored form using these integers.

(x+2)(x+10)=0

(x+2)(x+10)=0

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

x+2=0

x+10=0

Set the first factor equal to 0.

x+2=0

Subtract 2 from both sides of the equation.

x=-2

x=-2

Set the next factor equal to 0.

x+10=0

Subtract 10 from both sides of the equation.

x=-10

x=-10

The final solution is all the values that make (x+2)(x+10)=0 true.

x=-2,-10

Solve using the Square Root Property x^2+12x+20=0