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Solve for dd.\newline(d+5)(d+1)=0(d + 5)(d + 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlined=d = _____ or d=d = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for dd.\newline(d+5)(d+1)=0(d + 5)(d + 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlined=d = _____ or d=d = _____
  1. Identify Property: Identify the property to use in solving the given equation.\newlineProperty: Zero product property states that if the product of two factors is 00, then at least one of the factors must be 00.
  2. Apply Zero Product Property: Apply the zero product property to the equation (d+5)(d+1)=0(d + 5)(d + 1) = 0 by setting each factor equal to zero.\newlineFirst, set the first factor equal to zero: (d+5)=0(d + 5) = 0.
  3. Solve for dd: Solve for dd in the equation (d+5)=0(d + 5) = 0.\newlineSubtract 55 from both sides of the equation to isolate dd.\newlined+5−5=0−5d + 5 - 5 = 0 - 5\newlined=−5d = -5
  4. Set Second Factor: Now, set the second factor equal to zero: (d+1)=0(d + 1) = 0.
  5. Solve for d: Solve for d in the equation (d+1)=0(d + 1) = 0.\newlineSubtract 11 from both sides of the equation to isolate d.\newlined+1−1=0−1d + 1 - 1 = 0 - 1\newlined=−1d = -1

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