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Solve for pp.\newline17p2+40p=017p^2 + 40p = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinep=p = ____

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Q. Solve for pp.\newline17p2+40p=017p^2 + 40p = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinep=p = ____
  1. Factor out pp: Factor out the common factor pp. We notice that both terms in the equation 17p2+40p17p^2 + 40p have a common factor of pp. We can factor out pp to simplify the equation. Factor out pp from 17p217p^2 and 40p40p. p(17p+40)=0p(17p + 40) = 0
  2. Set equal to zero: Set each factor equal to zero.\newlineSince the product of two factors is zero, at least one of the factors must be zero. We set each factor equal to zero and solve for pp.\newlinep=0p = 0 or 17p+40=017p + 40 = 0
  3. Solve for p: Solve the second equation for p.\newlineWe have the equation 17p+40=017p + 40 = 0. To solve for p, we need to isolate p on one side of the equation.\newlineSubtract 4040 from both sides of the equation:\newline17p+40−40=0−4017p + 40 - 40 = 0 - 40\newline17p=−4017p = -40\newlineNow, divide both sides by 1717 to solve for p:\newlinep=−40/17p = -40 / 17

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