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Solve for mm.\newline35m2+41m=035m^2 + 41m = 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.\newline35m2+41m=035m^2 + 41m = 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 and Factorize: Factor out the greatest common factor (GCF) from the equation 35m2+41m=035m^2 + 41m = 0. The GCF of 35m235m^2 and 41m41m is mm. Factor out mm from each term. m(35m+41)=0m(35m + 41) = 0
  2. Set Equations and Solve: Set each factor equal to zero and solve for mm.\newlineFirst, set mm equal to zero:\newlinem=0m = 0\newlineThen, set the other factor equal to zero:\newline35m+41=035m + 41 = 0
  3. Solve for m: Solve the equation 35m+41=035m + 41 = 0 for mm.\newlineSubtract 4141 from both sides of the equation to isolate the term with mm.\newline35m+41−41=0−4135m + 41 - 41 = 0 - 41\newline35m=−4135m = -41\newlineDivide both sides by 3535 to solve for mm.\newlinem=−4135m = -\frac{41}{35}\newlineSimplify the fraction.\newlinem=−4135m = -\frac{41}{35}
  4. Write Solutions: Write the values of mm. We have found two solutions for mm: m=0m = 0 and m=−4135m = -\frac{41}{35}. m=0,−4135m = 0, -\frac{41}{35}

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