What is the solution set of the equation: 4(3x – 2)2 = 36? 4(3x  2)(3x  2) = 36
(3x  2)(3x  2) = 9 {divided both sides by 4} 9x2 12x + 4 = 9 {used foil method} 9x2  12x  5 = 0 (subtracted 9 from both sides} (3x + 1)(3x  5) = 0 {factored into two binomials} 3x + 1 = 0 or 3x  5 = 0 {set each factor equal to 0} 3x = 1 or 3x = 5 {solved each equation for x} x = 1/3 or x = 5/3  Algebra House
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