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Solve for dd. \newline47d2−26d=047d^2 - 26d = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlined=d = ____

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Q. Solve for dd. \newline47d2−26d=047d^2 - 26d = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlined=d = ____
  1. Factor GCF and Equate: Factor out the greatest common factor (GCF) from the equation 47d2−26d=047d^2 - 26d = 0. The GCF of 47d247d^2 and 26d26d is dd. Factor out dd from each term. d(47d−26)=0d(47d - 26) = 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.\newlineTherefore, we set each factor equal to zero and solve for dd.\newlined=0d = 0\newline47d−26=047d - 26 = 0
  3. Solve for dd: Solve the equation 47d−26=047d - 26 = 0 for dd. Add 2626 to both sides of the equation to isolate the term with dd. 47d=2647d = 26 Divide both sides by 4747 to solve for dd. d=2647d = \frac{26}{47}
  4. Write Solutions: Write the values of dd. We have found two solutions where the equation is satisfied: d=0d = 0 and d=2647d = \frac{26}{47}. d=0,2647d = 0, \frac{26}{47}

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