-6x2 -18x -12 = 0

ax2 bx c = 0

a = -6

b = -18

c = -12

Δ = b2-4ac

Δ = -18² - (4 * -6 * -12)

Δ = 324 - (4*72)

Δ = 324 - (288)

Δ = 36      Δ > 0

-6x2-18x-12=0

x = -b ∓ √Δ 2a

x' = 18 - √36 2*-6 = 18 - 6.0 -12 = 12.0 -12 = -1.0

x" = 18 + √36 2*-6 = 18 + 6.0 -12 = 24.0 -12 = -2.0

x' = -36.0

x" = -72.0

S = {x ∈ R / x' = -36.0, x" = -72.0 }