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Solve for mm.\newlinem(m−1)=0m(m - 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinem=m = _____ or m=m = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for mm.\newlinem(m−1)=0m(m - 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinem=m = _____ or m=m = _____
  1. Apply Zero Product Property: We are given the equation m(m−1)=0m(m - 1) = 0. To solve for mm, we can apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
  2. Set Equations: Set each factor equal to zero separately. This gives us two equations to solve:\newline11. m=0m = 0\newline22. m−1=0m - 1 = 0
  3. Solve for m=0m=0: Solve the first equation for mm:m=0m = 0This is already solved, so m=0m = 0 is one of our solutions.
  4. Solve for m=1m=1: Solve the second equation for mm:m−1=0m - 1 = 0Add 11 to both sides of the equation to isolate mm:m=1m = 1Now we have found the second solution.

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