Sagot :
Simplify first the given quadratic equation
-2x²-8x-14 = -6
-2x²-8x-14+6 = 0
-2x²-8x-8 = 0
x²+4x+4 = 0
Solve the discriminant
D = 4²-4(4)
D = 16-16
D = 0
Therefore, this equation has one real root
-2x²-8x-14 = -6
-2x²-8x-14+6 = 0
-2x²-8x-8 = 0
x²+4x+4 = 0
Solve the discriminant
D = 4²-4(4)
D = 16-16
D = 0
Therefore, this equation has one real root