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Solve for mm.\newline23m2−10m=023m^2 - 10m = 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.\newline23m2−10m=023m^2 - 10m = 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 23m2−10m=023m^2 - 10m = 0. The GCF of 23m223m^2 and 10m10m is mm. Factor out mm from each term. m(23m−10)=0m(23m - 10) = 0
  2. Apply Zero-Product Property: Apply the zero-product property.\newlineFor the product of factors to be zero, at least one of the factors must be zero.\newlineSo, set each factor equal to zero and solve for mm.\newlinem=0m = 0\newline23m−10=023m - 10 = 0
  3. Solve Equation: Solve the equation 23m−10=023m - 10 = 0 for mm. Add 1010 to both sides of the equation. 23m=1023m = 10 Divide both sides by 2323 to isolate mm. m=1023m = \frac{10}{23}
  4. Write Values: Write the values of mm. We have two solutions from the factors m=0m = 0 and m=1023m = \frac{10}{23}. m=0,1023m = 0, \frac{10}{23}

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