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Solve for jj. \newline22j2−17j=022j^2 - 17j = 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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Q. Solve for jj. \newline22j2−17j=022j^2 - 17j = 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. Factor GCF and Equate: Factor out the greatest common factor (GCF) from the equation 22j2−17j=022j^2 - 17j = 0. The GCF of 22j222j^2 and 17j17j is jj. Factor out jj from each term. j(22j−17)=0j(22j - 17) = 0
  2. Set Factors Equal: Set each factor equal to zero and solve for jj. First, set j=0j = 0. j=0j = 0 This is one solution. Next, set the other factor equal to zero. 22j−17=022j - 17 = 0
  3. Solve for j: Solve for jj in the equation 22j−17=022j - 17 = 0. Add 1717 to both sides of the equation to isolate the term with jj. 22j−17+17=0+1722j - 17 + 17 = 0 + 17 22j=1722j = 17 Now, divide both sides by 2222 to solve for jj. j=1722j = \frac{17}{22} This is the second solution.

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