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Solve for qq. \newlineq2+28q=0q^2 + 28q = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineq=q = ____

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Full solution

Q. Solve for qq. \newlineq2+28q=0q^2 + 28q = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineq=q = ____
  1. Factor out common factor: Factor out the common factor qq from the equation.\newlineFactor out qq from q2q^2 and 28q28q.\newlineq(q+28)=0q(q + 28) = 0
  2. Set factors equal to zero: Set each factor equal to zero to find the values of qq.q=0q = 0 or q+28=0q + 28 = 0
  3. Solve for q: Solve the second equation q+28=0q + 28 = 0 for qq.\newlineSubtract 2828 from both sides to isolate qq.\newlineq=−28q = -28

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