What are the solutions to the equation 3p(p+3)=p-3 ?

The solutions to the equation 3p(p+3)=p-3 are p=(-4+sqrt(7))/3 ,p=-(4+sqrt(7))/3

Find the zeros of 3p(p+3)=p-3

The zeros of 3p(p+3)=p-3 are p=(-4+sqrt(7))/3 ,p=-(4+sqrt(7))/3

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3 p (p + 3) = p - 3

p = \frac{- 4 + 7}{3}, p = - \frac{4 + 7}{3}

Decimal Notation

p = - 0.45141 \dots, p = - 2.21525 \dots

Solution steps

3 p (p + 3) = p - 3

Expand

3 p (p + 3) : 3 p^{2} + 9 p

3 p^{2} + 9 p = p - 3

Move

3

to the left side

3 p^{2} + 9 p + 3 = p

Move

p

to the left side

3 p^{2} + 8 p + 3 = 0

Solve with the quadratic formula

p_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 3 \cdot 3}{2 \cdot 3}

8^{2} - 4 \cdot 3 \cdot 3 = 27

p_{1, 2} = \frac{- 8 \pm 2 7}{2 \cdot 3}

Separate the solutions

p_{1} = \frac{- 8 + 2 7}{2 \cdot 3}, p_{2} = \frac{- 8 - 2 7}{2 \cdot 3}

p = \frac{- 8 + 2 7}{2 \cdot 3} : \frac{- 4 + 7}{3}

p = \frac{- 8 - 2 7}{2 \cdot 3} : - \frac{4 + 7}{3}

The solutions to the quadratic equation are:

p = \frac{- 4 + 7}{3}, p = - \frac{4 + 7}{3}

46 x^{2} + 110 x - 404 = 0

- 3 x^{2} - 63 = 0

10 t^{2} + 21 t + 6 = 2 t

5 x^{2} + 35 = - 5

12 t^{2} - 30 t + 10 = 0

What are the solutions to the equation 3p(p+3)=p-3 ?
The solutions to the equation 3p(p+3)=p-3 are p=(-4+sqrt(7))/3 ,p=-(4+sqrt(7))/3
Find the zeros of 3p(p+3)=p-3
The zeros of 3p(p+3)=p-3 are p=(-4+sqrt(7))/3 ,p=-(4+sqrt(7))/3