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Solve for tt.\newline(t+9)(t−7)=0(t + 9)(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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Solve a quadratic equation using the zero product propertyright chevron icon

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Q. Solve for tt.\newline(t+9)(t−7)=0(t + 9)(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, which states that if the product of two factors is 00, then at least one of the factors must be 00.
  2. Apply Zero Product Property: Apply the zero product property to the equation (t+9)(t−7)=0(t + 9)(t - 7) = 0. Set each factor equal to zero: t+9=0t + 9 = 0 and t−7=0t - 7 = 0.
  3. Solve First Equation: Solve the first equation t+9=0t + 9 = 0.\newlineSubtract 99 from both sides to isolate tt.\newlinet+9−9=0−9t + 9 - 9 = 0 - 9\newlinet=−9t = -9
  4. Solve Second Equation: Solve the second equation t−7=0t - 7 = 0. Add 77 to both sides to isolate tt.\newlinet−7+7=0+7t - 7 + 7 = 0 + 7 \newlinet=7t = 7

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