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 = -36.0 30 = -1.2

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

x' = -270.0

x" = 150.0

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