15x2 -2x -8 = 0

ax2 bx c = 0

a = 15

b = -2

c = -8

Δ = b2-4ac

Δ = -2² - (4 * 15 * -8)

Δ = 4 - (4*-120)

Δ = 4 - (-480)

Δ = 484      Δ > 0

15x2-2x-8=0

x = -b ∓ √Δ 2a

x' = 2 - √484 2*15 = 2 - 22.0 30 = -20.0 30 = -0.666666666667

x" = 2 + √484 2*15 = 2 + 22.0 30 = 24.0 30 = 0.8

x' = -150.0

x" = 180.0

S = {x ∈ R / x' = -150.0, x" = 180.0 }