-6x2 -20x -16 = 0

ax2 bx c = 0

a = -6

b = -20

c = -16

Δ = b2-4ac

Δ = -20² - (4 * -6 * -16)

Δ = 400 - (4*96)

Δ = 400 - (384)

Δ = 16      Δ > 0

-6x2-20x-16=0

x = -b ∓ √Δ 2a

x' = 20 - √16 2*-6 = 20 - 4.0 -12 = 16.0 -12 = -1.33333333333

x" = 20 + √16 2*-6 = 20 + 4.0 -12 = 24.0 -12 = -2.0

x' = -48.0

x" = -72.0

S = {x ∈ R / x' = -48.0, x" = -72.0 }