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Solve for kk.\newline21k2+23k=021k^2 + 23k = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinek=k = ____

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Q. Solve for kk.\newline21k2+23k=021k^2 + 23k = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinek=k = ____
  1. Factor GCF: Factor out the greatest common factor (GCF) from the equation 21k2+23k=021k^2 + 23k = 0. The GCF of 21k221k^2 and 23k23k is kk. Factor out kk from each term. k(21k+23)=0k(21k + 23) = 0
  2. Set Equal Solve: Set each factor equal to zero and solve for kk.\newlineFirst, set kk equal to zero:\newlinek=0k = 0\newlineThen, set the other factor equal to zero:\newline21k+23=021k + 23 = 0
  3. Solve 21k+2321k + 23: Solve the equation 21k+23=021k + 23 = 0 for kk.\newlineSubtract 2323 from both sides of the equation to isolate the term with kk.\newline21k+23−23=0−2321k + 23 - 23 = 0 - 23\newline21k=−2321k = -23\newlineDivide both sides by 2121 to solve for kk.\newlinek=−2321k = -\frac{23}{21}\newlineSimplify the fraction.\newline21k+23=021k + 23 = 000

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