18x2 +19x -12 = 0

ax2 bx c = 0

a = 18

b = 19

c = -12

Δ = b2-4ac

Δ = 19² - (4 * 18 * -12)

Δ = 361 - (4*-216)

Δ = 361 - (-864)

Δ = 1225      Δ > 0

18x2+19x-12=0

x = -b ∓ √Δ 2a

x' = -19 - √1225 2*18 = -19 - 35.0 36 = -54.0 36 = -1.5

x" = -19 + √1225 2*18 = -19 + 35.0 36 = 16.0 36 = 0.444444444444

x' = -486.0

x" = 144.0

S = {x ∈ R / x' = -486.0, x" = 144.0 }