-12x2 -20x -7 = 0

ax2 bx c = 0

a = -12

b = -20

c = -7

Δ = b2-4ac

Δ = -20² - (4 * -12 * -7)

Δ = 400 - (4*84)

Δ = 400 - (336)

Δ = 64      Δ > 0

-12x2-20x-7=0

x = -b ∓ √Δ 2a

x' = 20 - √64 2*-12 = 20 - 8.0 -24 = 12.0 -24 = -0.5

x" = 20 + √64 2*-12 = 20 + 8.0 -24 = 28.0 -24 = -1.16666666667

x' = -72.0

x" = -168.0

S = {x ∈ R / x' = -72.0, x" = -168.0 }