Answer:
x = 6 , -1/3
Step-by-step explanation:
Use foil method
(3x -2)(x + 1) = 3x*x + 3x*1 + (-2)*x + (-2)*1
= 3x² + 3x - 2x - 2 {Combine like terms}
=3x² + x - 2
(3x -2)(x + 1) = 18x + 4
3x² + x -2 = 18x + 4
Subtract 18x to both sides
3x² + x - 18x - 2 = 4
3x² - 17x - 2 = 4
Subtract 4 from both sides
3x² - 17x -2 -4 = 0
3x² - 17x - 6 = 0
Sum = -17
Product = (-6)*3 = -18
Factors = 1 , (-18) {1*(-18)=-18 ; 1 +(-18) = -17}
3x² - 18x + x - 6 = 0
3x(x - 6) + (x -6) = 0
(x - 6)(3x + 1) = 0
x - 6 = 0 ; 3x + 1 = 0
x = 6 ; 3x = -1
x = -1/3
x = 6 , (-1/3)