Solve 2(p 1) 8(p-1)=5p

Evaluate

2 (p \times 1) \times 8 (p - 1) = 5 p

Remove the parentheses

2 p \times 1 \times 8 (p - 1) = 5 p

Multiply the terms

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16 p (p - 1) = 5 p

Expand the expression

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16 p^{2} - 16 p = 5 p

Move the expression to the left side

16 p^{2} - 21 p = 0

Factor the expression

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p (16 p - 21) = 0

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

16 p - 21 = 0 p = 0

Solve the equation for p

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p = \frac{21}{16} p = 0

Solution

p_{1} = 0, p_{2} = \frac{21}{16}

Alternative Form

p_{1} = 0, p_{2} = 1.3125

Solve the quadratic equation