Solve 21p 8p = 26p 33

Evaluate

21 p \times 8 p = 26 p \times 33

Multiply

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168 p^{2} = 26 p \times 33

Multiply the terms

168 p^{2} = 858 p

Move the expression to the left side

168 p^{2} - 858 p = 0

Factor the expression

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6 p (28 p - 143) = 0

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

28 p - 143 = 0 6 p = 0

Solve the equation for p

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p = \frac{143}{28} 6 p = 0

Solve the equation for p

p = \frac{143}{28} p = 0

Solution

p_{1} = 0, p_{2} = \frac{143}{28}

Alternative Form

p_{1} = 0, p_{2} = 5.10 \dot{7} 1428 \dot{5}

Solve the quadratic equation