Solve for a a^2-6a-27=0

Math
a2-6a-27=0
Factor a2-6a-27 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 -27 and whose sum is -6.
-9,3
Write the factored form using these integers.
(a-9)(a+3)=0
(a-9)(a+3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
a-9=0
a+3=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
a-9=0
Add 9 to both sides of the equation.
a=9
a=9
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
a+3=0
Subtract 3 from both sides of the equation.
a=-3
a=-3
The final solution is all the values that make (a-9)(a+3)=0 true.
a=9,-3
Solve for a a^2-6a-27=0

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