What are the solutions to the equation 3p^2=-2p ?

The solutions to the equation 3p^2=-2p are p=0,p=-2/3

Find the zeros of 3p^2=-2p

The zeros of 3p^2=-2p are p=0,p=-2/3

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3 p^{2} = - 2 p

p = 0, p = - \frac{2}{3}

Decimal Notation

p = 0, p = - 0.66666 \dots

Solution steps

3 p^{2} = - 2 p

Move

2 p

to the left side

3 p^{2} + 2 p = 0

Factor

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

p (3 p + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

p = 0 or 3 p + 2 = 0

Solve

3 p + 2 = 0 : p = - \frac{2}{3}

The solutions to the quadratic equation are:

p = 0, p = - \frac{2}{3}

7 x - 24 + 5 x^{2} = 0

3 x^{2} + 4 = - 32

12 x - 0.06 x^{2} = 0

m^{2} + 3 m - 5 = 0

m^{2} - 4 m + 6 = 0

What are the solutions to the equation 3p^2=-2p ?
The solutions to the equation 3p^2=-2p are p=0,p=-2/3
Find the zeros of 3p^2=-2p
The zeros of 3p^2=-2p are p=0,p=-2/3