-6x2 -15x -6 = 0

ax2 bx c = 0

a = -6

b = -15

c = -6

Δ = b2-4ac

Δ = -15² - (4 * -6 * -6)

Δ = 225 - (4*36)

Δ = 225 - (144)

Δ = 81      Δ > 0

-6x2-15x-6=0

x = -b ∓ √Δ 2a

x' = 15 - √81 2*-6 = 15 - 9.0 -12 = 6.0 -12 = -0.5

x" = 15 + √81 2*-6 = 15 + 9.0 -12 = 24.0 -12 = -2.0

x' = -18.0

x" = -72.0

S = {x ∈ R / x' = -18.0, x" = -72.0 }