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Solve for xx.\newlinex(x+1)=0x(x + 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinex=x = _____ or x=x = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for xx.\newlinex(x+1)=0x(x + 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinex=x = _____ or x=x = _____
  1. Apply Zero Product Property: Apply the zero product property to the equation x(x+1)=0x(x + 1) = 0.\newlineThe zero product property states that if a product of two factors is zero, then at least one of the factors must be zero.\newlineTherefore, we set each factor equal to zero separately.\newlinex=0x = 0 or x+1=0x + 1 = 0
  2. Solve for x=0x = 0: Solve the first equation for xx.x=0x = 0This is already solved, so we have one solution: x=0x = 0.
  3. Solve for x=−1x = -1: Solve the second equation for xx.x+1=0x + 1 = 0Subtract 11 from both sides to isolate xx.x=−1x = -1Now we have the second solution: x=−1x = -1.

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