15x2 -3x -12 = 0

ax2 bx c = 0

a = 15

b = -3

c = -12

Δ = b2-4ac

Δ = -3² - (4 * 15 * -12)

Δ = 9 - (4*-180)

Δ = 9 - (-720)

Δ = 729      Δ > 0

15x2-3x-12=0

x = -b ∓ √Δ 2a

x' = 3 - √729 2*15 = 3 - 27.0 30 = -24.0 30 = -0.8

x" = 3 + √729 2*15 = 3 + 27.0 30 = 30.0 30 = 1.0

x' = -180.0

x" = 225.0

S = {x ∈ R / x' = -180.0, x" = 225.0 }