15x2 -8x -12 = 0

ax2 bx c = 0

a = 15

b = -8

c = -12

Δ = b2-4ac

Δ = -8² - (4 * 15 * -12)

Δ = 64 - (4*-180)

Δ = 64 - (-720)

Δ = 784      Δ > 0

15x2-8x-12=0

x = -b ∓ √Δ 2a

x' = 8 - √784 2*15 = 8 - 28.0 30 = -20.0 30 = -0.666666666667

x" = 8 + √784 2*15 = 8 + 28.0 30 = 36.0 30 = 1.2

x' = -150.0

x" = 270.0

S = {x ∈ R / x' = -150.0, x" = 270.0 }