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Solve for dd.\newlined2+24d−25=0d^2 + 24d - 25 = 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 = ____

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Q. Solve for dd.\newlined2+24d−25=0d^2 + 24d - 25 = 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 = ____
  1. Identify quadratic equation: Identify the quadratic equation to solve.\newlineThe given quadratic equation is d2+24d−25=0d^2 + 24d - 25 = 0. We need to find values of dd that satisfy this equation.
  2. Factor quadratic equation: Factor the quadratic equation.\newlineWe need to find two numbers that multiply to −25-25 and add up to 2424. The numbers 2525 and −1-1 satisfy these conditions because 25×(−1)=−2525 \times (-1) = -25 and 25+(−1)=2425 + (-1) = 24.\newlineSo, we can write the equation as (d+25)(d−1)=0(d + 25)(d - 1) = 0.
  3. Solve for d: Solve for d using the zero product property.\newlineIf (d+25)(d−1)=0(d + 25)(d - 1) = 0, then either d+25=0d + 25 = 0 or d−1=0d - 1 = 0.\newlineFor d+25=0d + 25 = 0:\newlineSubtract 2525 from both sides to solve for d.\newlined+25−25=0−25d + 25 - 25 = 0 - 25\newlined=−25d = -25\newlineFor d−1=0d - 1 = 0:\newlineAdd 11 to both sides to solve for d.\newlined−1+1=0+1d - 1 + 1 = 0 + 1\newlined+25=0d + 25 = 000

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