18x2 -15x -12 = 0

ax2 bx c = 0

a = 18

b = -15

c = -12

Δ = b2-4ac

Δ = -15² - (4 * 18 * -12)

Δ = 225 - (4*-216)

Δ = 225 - (-864)

Δ = 1089      Δ > 0

18x2-15x-12=0

x = -b ∓ √Δ 2a

x' = 15 - √1089 2*18 = 15 - 33.0 36 = -18.0 36 = -0.5

x" = 15 + √1089 2*18 = 15 + 33.0 36 = 48.0 36 = 1.33333333333

x' = -162.0

x" = 432.0

S = {x ∈ R / x' = -162.0, x" = 432.0 }