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Solve for cc.\newlinec(c−5)=0c(c - 5) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinec=c = _____ or c=c = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for cc.\newlinec(c−5)=0c(c - 5) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinec=c = _____ or c=c = _____
  1. Given Equation: We are given the equation c(c−5)=0c(c - 5) = 0. To find the values of cc, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. Therefore, we set each factor equal to zero.\newlinec=0c = 0 or c−5=0c - 5 = 0
  2. Using Zero Product Property: Now we solve each equation for cc.\newlineFirst equation: c=0c = 0\newlineThis equation is already solved, and it tells us that one possible value for cc is 00.
  3. Solving for c: Second equation: c−5=0c - 5 = 0\newlineTo solve for c, we add 55 to both sides of the equation.\newlinec−5+5=0+5c - 5 + 5 = 0 + 5\newlinec=5c = 5\newlineThis tells us that another possible value for cc is 55.

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