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10x25x=010x^2-5x=0

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Q. 10x25x=010x^2-5x=0
  1. Identify Factors: Now we have two factors, 5x5x and (2x1)(2x - 1).\newlineSet each factor equal to zero to find the roots.\newline5x=05x = 0 and 2x1=02x - 1 = 0
  2. Solve 5x=05x = 0: Solve 5x=05x = 0. \newlinex=05x = \frac{0}{5} \newlinex=0x = 0
  3. Solve 2x1=02x - 1 = 0: Solve 2x1=02x - 1 = 0.\newline2x=12x = 1\newlinex=12x = \frac{1}{2}