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Solve for yy.\newline7y2+48y=07y^2 + 48y = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newliney=y = ____

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Q. Solve for yy.\newline7y2+48y=07y^2 + 48y = 0\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newliney=y = ____
  1. Factor out common factor: Factor out the common factor yy from the equation.\newlineFactor out yy from 7y27y^2 and 48y48y.\newliney(7y+48)=0y(7y + 48) = 0
  2. Set equal to zero: Set each factor equal to zero to find the values of yy.y=0y = 0 or 7y+48=07y + 48 = 0
  3. Solve for y: Solve the second equation 7y+48=07y + 48 = 0 for y.\newlineSubtract 4848 from both sides of the equation.\newline7y=−487y = -48\newlineDivide both sides by 77.\newliney=−487y = -\frac{48}{7}\newlineSimplify the fraction.\newliney=−667y = -6 \frac{6}{7} or y=−6.857…y = -6.857\dots (as a decimal, but we want a fraction)\newlineSince we need to write the solution as an integer or a fraction in simplest form, we keep it as −667-6 \frac{6}{7}.

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