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

Math
g2+8g+12=0
Factor g2+8g+12 using the AC method.
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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 and solve.
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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 and solve.
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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

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