Question

x(x-2)=2(x+6) resolver

Answer 1

x.(x - 2) = 2.(x + 6)
x² - 2x = 2x + 12
x² - 2x - 2x - 12 = 0
x² - 4x - 12 = 0

a = 1; b = - 4; c = - 12

Δ = b² - 4ac
Δ = (-4)² - 4.1.(-12)
Δ = 16 + 48
Δ = 64

x = - b +/- √Δ = - ( - 4) +/- √64
         2a                 2.1

x = 4 + 8 = 12/2 = 6
         2

x = 4 - 8 = - 4/2 = - 2
        2        

R.: x = 6 e x = - 2