Question

$8 {x}^{3} + 4 {x}^{2} - 10x + 3 = 0$

Answer 1

8x^3 + 4x^2 - 10x + 3 = 0

8x^3 + 12x^2 - 8x^2 - 12x + 2x + 3 = 0

4x^2*(2x+3) - 4x*(2x+3) + 1(2x+3) = 0

(2x+3)(4x^2 - 4x + 1) = 0

(2x+3)(2x-1)^2 = 0

x1 = - 2/3; x2 = x3 = 1/2