Question

3 p2 9 p = 6 Add 6 to both sides to set the right side to o 3 p2 9 p 6=04 Divide everything by 3 p2 3 p 2 =0 ( P 1)(p 2) = 0 P 1 = 0 OR P 2 = 0 P=-1 P= -2

Answer 1

The solution to the equation $3p^2-9p-6=0$ are p = 1, p = 2

Finding the solution of a quadratic equation

The given equation is:

$3p^2-9p=6$

This can be re-written as:

$3p^2-9p-6=0$

Solve for p by factorization

$3p^2-3p-6p+6=0\\\\3p(p-1)-6(p-1)=0\\\\(3p-6)(p-1)=0$

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 $3p^2-9p-6=0$ are p = 1, p = 2

Learn more on quadratic equation here: brainly.com/question/1214333

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