15x2 -14x -8 = 0

ax2 bx c = 0

a = 15

b = -14

c = -8

Δ = b2-4ac

Δ = -14² - (4 * 15 * -8)

Δ = 196 - (4*-120)

Δ = 196 - (-480)

Δ = 676      Δ > 0

15x2-14x-8=0

x = -b ∓ √Δ 2a

x' = 14 - √676 2*15 = 14 - 26.0 30 = -12.0 30 = -0.4

x" = 14 + √676 2*15 = 14 + 26.0 30 = 40.0 30 = 1.33333333333

x' = -90.0

x" = 300.0

S = {x ∈ R / x' = -90.0, x" = 300.0 }