Solve for z z^2+13z+22=0

Math
z2+13z+22=0
Factor z2+13z+22 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 22 and whose sum is 13.
2,11
Write the factored form using these integers.
(z+2)(z+11)=0
(z+2)(z+11)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
z+2=0
z+11=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
z+2=0
Subtract 2 from both sides of the equation.
z=-2
z=-2
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
z+11=0
Subtract 11 from both sides of the equation.
z=-11
z=-11
The final solution is all the values that make (z+2)(z+11)=0 true.
z=-2,-11
Solve for z z^2+13z+22=0

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