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Solve for tt.\newline(t−1)(t−7)=0(t - 1)(t - 7) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinet=t = _____ or t=t = _____

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Q. Solve for tt.\newline(t−1)(t−7)=0(t - 1)(t - 7) = 0\newlineWrite your answers as integers or as proper or improper fractions in simplest form.\newlinet=t = _____ or t=t = _____
  1. Identify Property: Identify the property to use in solving the given equation.\newlineProperty: Zero product property
  2. Solve for tt (t−1t-1): Solve for tt when (t−1)=0(t − 1) = 0.\newlineAdd 11 to both sides of the equation.\newlinet−1+1=0+1t − 1 + 1 = 0 + 1\newlinet=1t = 1
  3. Solve for tt (t−7t-7): Solve for tt when (t−7)=0(t − 7) = 0.\newlineAdd 77 to both sides of the equation.\newlinet−7+7=0+7t − 7 + 7 = 0 + 7\newlinet=7t = 7
  4. Two Solutions for (t−1)(t−7)(t-1)(t-7): The equation (t−1)(t−7)=0(t − 1)(t − 7) = 0 has two solutions.t−1=0t − 1 = 0 implies t=1t = 1.t−7=0t − 7 = 0 implies t=7t = 7.Values of tt: 1,71, 7

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