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Solve for tt.\newlinet(t−1)=0t(t - 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinet=t = _____ or t=t = _____

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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for tt.\newlinet(t−1)=0t(t - 1) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinet=t = _____ or t=t = _____
  1. Apply Zero Product Property: We are given the equation t(t−1)=0t(t - 1) = 0. To solve for tt, we can apply the zero product property, which states that if the product of two factors is 00, then at least one of the factors must be 00.
  2. Set Equations Equal to Zero: Set each factor equal to zero separately. This gives us two equations to solve:\newline11. t=0t = 0\newline22. t−1=0t - 1 = 0
  3. Solve for t=0t = 0: Solve the first equation:\newlinet=0t = 0\newlineThis is already solved, so we have our first value of tt.
  4. Solve for t=1t = 1: Solve the second equation:\newlinet−1=0t − 1 = 0\newlineAdd 11 to both sides to isolate tt:\newlinet=1t = 1\newlineNow we have our second value of tt.

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