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Solve for mm.\newline4m2−47m=04m^2 - 47m = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinem=m = ____

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Q. Solve for mm.\newline4m2−47m=04m^2 - 47m = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinem=m = ____
  1. Factor GCF: Factor out the greatest common factor (GCF) from the equation 4m2−47m=04m^2 - 47m = 0. The GCF of 4m24m^2 and 47m47m is mm. Factor out mm from each term. m(4m−47)=0m(4m - 47) = 0
  2. Set Equal Zero: Set each factor equal to zero and solve for mm. First, set mm equal to zero: m=0m = 0 Then, set the other factor equal to zero: 4m−47=04m - 47 = 0
  3. Solve for m: Solve the equation 4m−47=04m - 47 = 0 for mm.\newlineAdd 4747 to both sides of the equation to isolate the term with mm.\newline4m−47+47=0+474m - 47 + 47 = 0 + 47\newline4m=474m = 47\newlineNow, divide both sides by 44 to solve for mm.\newlinem=474m = \frac{47}{4}

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