Appendix B - Exercise Set: 20

$y = 2\frac{1}{3}$ or $y =-2$

Work Step by Step

$3y^2-y-14 = 0$ Step 1: is not needed because there is no fractions. $3y^2-y-14 = 0$ Step 2: is not needed. $3y^2-y-14 = 0$ Step 3: is not needed since no simplifying can be done on either side of the equation. $3y^2-y-14 = 0$ Step 4: The equation is quadratic. $3y^2-y-14 = 0$ Step 5: Rewrite the equation in standard form. $3y^2 -1y-14 = 0$ Step 6: Factor. $(3y -7)(y +2) = 0$ Step 7: Set each factor equal to 0. $3y -7 = 0$ or $y +2 = 0$ Solve each equation. $3y = +7$ or $y =-2$ $y = +2\frac{1}{3}$ or $y =-2$

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