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Solve for xx: (x+5)(x+1)=0(x + 5)(x + 1) = 0. Write your answers as integers or as proper or improper fractions in simplest form. \newline`x` =_______ \newline`d`=____ or \newline`x = d=` ______

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for xx: (x+5)(x+1)=0(x + 5)(x + 1) = 0. Write your answers as integers or as proper or improper fractions in simplest form. \newline`x` =_______ \newline`d`=____ or \newline`x = d=` ______
  1. Apply Zero Product Property: Apply the zero product property to the equation (x+5)(x+1)=0(x + 5)(x + 1) = 0. According to this property, if the product of two factors is zero, then at least one of the factors must be zero.\newlineSet each factor equal to zero: x+5=0x + 5 = 0 and x+1=0x + 1 = 0.
  2. Solve for xx: x+5=0x + 5 = 0: Solve the first equation x+5=0x + 5 = 0 for xx.\newlineSubtract 55 from both sides to isolate xx: x=−5x = -5.
  3. Solve for xx: x+1=0x + 1 = 0: Solve the second equation x+1=0x + 1 = 0 for xx.\newlineSubtract 11 from both sides to isolate xx: x=−1x = -1.
  4. Apply Zero Product Property: Apply the zero product property to the equation (d+5)(d+1)=0(d + 5)(d + 1) = 0, which is similar to the first equation.\newlineSet each factor equal to zero: d+5=0d + 5 = 0 and d+1=0d + 1 = 0.
  5. Solve for dd: d+5=0d + 5 = 0: Solve the first equation d+5=0d + 5 = 0 for dd.\newlineSubtract 55 from both sides to isolate dd: d=−5d = -5.
  6. Solve for dd: d+1=0d + 1 = 0: Solve the second equation d+1=0d + 1 = 0 for dd. Subtract 11 from both sides to isolate dd: d=−1d = -1.

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