Question

How to solve -50x^3 - 24x^2 + 2x

Answer 1

When it equals zero? That would be...

-50x^3 - 24x^2 + 2x = 0
25x^3 + 12x^2 - x = 0
25x^2 + 12x - 1 = 0 [x = 0] <-- One solution of x.

x = [-b ± √((b^2) - 4(a)(c))]/2a
a = 25; b = 12; c = -1

x = [-12 ± √(144 + 100)]/50
x = [-12 ± √(244)]/50
x = 0.07241; x = -0.55241

Total solutions of x:

x = -0.55241
x = 0
x = 0.07241