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Solve for tt.\newline19t2−14t=019t^2 - 14t = 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=t = ____

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Q. Solve for tt.\newline19t2−14t=019t^2 - 14t = 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=t = ____
  1. Factor GCF: Factor out the greatest common factor (GCF) from the equation 19t2−14t=019t^2 - 14t = 0. The GCF of 19t219t^2 and 14t14t is tt. Factor out tt from each term. t(19t−14)=0t(19t - 14) = 0
  2. Set Equal Zero: Set each factor equal to zero and solve for tt.\newlineFirst, set tt equal to zero:\newlinet=0t = 0\newlineThis is one solution.\newlineNext, set the other factor equal to zero:\newline19t−14=019t - 14 = 0
  3. Solve Equation: Solve the equation 19t−14=019t - 14 = 0 for tt. Add 1414 to both sides of the equation to isolate the term with tt. 19t=1419t = 14 Now, divide both sides by 1919 to solve for tt. t=1419t = \frac{14}{19} This is the second solution.

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