Solve for x by completing a square: 1.5x^2 + 2x - 4 =0
1.5x^2 + 2x - 4 =0
1.5x^2 + 2x = 4
multiply by 4 * 1.5 (where 1.5 is the coefft of x^2)
9x^2 + 12x = 24
(9x^2 + 12x + 4) – 4 = 24 (here we complete the square)
(3x + 2)^2 – 4 = 24
(3x + 2)^2 = 28
(3x + 2) = ±√28
3x + 2 = -√28, 3x + 2 = √28,
x = (-2 – √28)/3, x = (-2 + √28)/3