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Solve for gg. \newlineg2+50g=0g^2 + 50g = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineg=___g = \_\_\_

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Full solution

Q. Solve for gg. \newlineg2+50g=0g^2 + 50g = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. \newlineg=___g = \_\_\_
  1. Factor out common factor: Factor out the common factor gg.\newlineFactor out gg from g2g^2 and 50g50g.\newlineg(g+50)=0g(g + 50) = 0
  2. Set factors equal to zero: Set each factor equal to zero to find the values of gg.g=0g = 0 or g+50=0g + 50 = 0
  3. Solve for gg: Solve the second equation g+50=0g + 50 = 0 for gg.\newlineSubtract 5050 from both sides to isolate gg.\newlineg=−50g = -50

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