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Solve for tt. \newlinet2−15t=0t^2 - 15t = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinet = ____

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Q. Solve for tt. \newlinet2−15t=0t^2 - 15t = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlinet = ____
  1. Identify Equation: Identify the equation to solve.\newlineWe have the quadratic equation t2−15t=0t^2 - 15t = 0.
  2. Factor Common Term: Factor out the common term.\newlineWe can factor tt out of both terms in the equation.\newlinet(t−15)=0t(t - 15) = 0
  3. Apply Zero-Product Property: Apply the zero-product property.\newlineIf the product of two factors is zero, then at least one of the factors must be zero.\newlineSo, we set each factor equal to zero and solve for tt.\newlinet=0t = 0 or t−15=0t - 15 = 0
  4. Solve First Equation: Solve the first equation. t=0t = 0 This is our first solution.
  5. Solve Second Equation: Solve the second equation.\newlinet−15=0t - 15 = 0\newlineAdd 1515 to both sides to solve for tt.\newlinet=15t = 15\newlineThis is our second solution.

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