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

(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