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Solve for jj. \newlinej2+21j=0j^2 + 21j = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinej=j = ____

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Solve a quadratic equation by factoringright chevron icon

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Q. Solve for jj. \newlinej2+21j=0j^2 + 21j = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinej=j = ____
  1. Identify Equation: Identify the equation to solve.\newlineWe have the quadratic equation j2+21j=0j^2 + 21j = 0.
  2. Factor Out Common Term: Factor out the common term jj. We can factor jj from both terms to get j(j+21)=0j(j + 21) = 0.
  3. Apply Zero Product Property: Apply the zero product property.\newlineIf the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero:\newlinej=0j = 0\newlinej+21=0j + 21 = 0
  4. Solve for jj (First Factor): Solve for jj from the first factor.\newlineFrom j=0j = 0, we get the first solution:\newlinej=0j = 0
  5. Solve for jj (Second Factor): Solve for jj from the second factor.\newlineFrom j+21=0j + 21 = 0, we subtract 2121 from both sides to get:\newlinej=−21j = -21

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