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Solve for xx.\newline27x2+10x=027x^2 + 10x = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinex = ____

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Q. Solve for xx.\newline27x2+10x=027x^2 + 10x = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlinex = ____
  1. Factor GCF: xx: Factor out the greatest common factor (GCF) which is xx.27x2+10x=x(27x+10)=027x^2 + 10x = x(27x + 10) = 0
  2. Set Equal and Solve: Set each factor equal to zero and solve for xx.\newlineFirst factor: x=0x = 0\newlineSecond factor: 27x+10=027x + 10 = 0
  3. Solve for x: Solve the second equation for x.\newline27x+10=027x + 10 = 0\newlineSubtract 1010 from both sides: 27x=−1027x = -10\newlineDivide both sides by 2727: x=−1027x = -\frac{10}{27}
  4. Write Solutions: Write the values of xx. We have two solutions: x=0x = 0 and x=−1027x = -\frac{10}{27}.

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