Solve 3p(p+2)=p(p-4)

Evaluate

3 p (p + 2) = p (p - 4)

Expand the expression

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3 p^{2} + 6 p = p (p - 4)

Expand the expression

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3 p^{2} + 6 p = p^{2} - 4 p

Move the expression to the left side

2 p^{2} + 10 p = 0

Factor the expression

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2 p (p + 5) = 0

When the product of factors equals 0,at least one factor is 0

2 p = 0 p + 5 = 0

Solve the equation for p

p = 0 p + 5 = 0

Solve the equation for p

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p = 0 p = - 5

Solution

p_{1} = - 5, p_{2} = 0

Solve the quadratic equation