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Solve for vv. \newline3v2+2v=03v^2 + 2v = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinev=v = ____

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Q. Solve for vv. \newline3v2+2v=03v^2 + 2v = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinev=v = ____
  1. Factor GCF: Factor out the greatest common factor (GCF) which is vv.v(3v+2)=0v(3v + 2) = 0
  2. Set Equal and Solve: Set each factor equal to zero and solve for vv.\newlineFirst, set v=0v = 0.\newlinev=0v = 0
  3. Find Solutions: Now, set the other factor equal to zero and solve for vv.\newline3v+2=03v + 2 = 0\newlineSubtract 22 from both sides.\newline3v=−23v = -2\newlineDivide both sides by 33.\newlinev=−23v = -\frac{2}{3}
  4. Write Values: Write the values of vv. We have two solutions: v=0v = 0 and v=−23v = -\frac{2}{3}. v=0,−23v = 0, -\frac{2}{3}

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