g2+8g+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 8.

2,6

Write the factored form using these integers.

(g+2)(g+6)=0

(g+2)(g+6)=0

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

g+2=0

g+6=0

Set the first factor equal to 0.

g+2=0

Subtract 2 from both sides of the equation.

g=-2

g=-2

Set the next factor equal to 0.

g+6=0

Subtract 6 from both sides of the equation.

g=-6

g=-6

The final solution is all the values that make (g+2)(g+6)=0 true.

g=-2,-6

Solve for g g^2+8g+12=0