The solution to the equation [tex]3p^2-9p-6=0[/tex] are p = 1, p = 2
The given equation is:
[tex]3p^2-9p=6[/tex]
This can be re-written as:
[tex]3p^2-9p-6=0[/tex]
Solve for p by factorization
[tex]3p^2-3p-6p+6=0\\\\3p(p-1)-6(p-1)=0\\\\(3p-6)(p-1)=0[/tex]
Equate each of the factors to zero
3p - 6 = 0
3p = 6
p = 6/3
p = 2
p - 1 = 0
p = 1
Therefore, the solution to the equation [tex]3p^2-9p-6=0[/tex] are p = 1, p = 2
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