Решить уравнения подробно

(x+6) * (2x-1) * (3x+12) = 0

m * (m-5) * (2m+1) = 0

m * (m-3) * (6+2m) = 0

(x+6) * (2x-1) * (3x+12) = 0

3x+12=0 = > 3x=-12 = >x=-12/3 = >x=-4

x=-4

(x+6) * (2x-1) = 0

2x²-x+12x-6=0

2x²+11x-6=0

D=11²-4*2 * (-6) = 169 √169=13

x = (-11+13) / 2*2=0.5

x = (-11-13) / 4=-6

x₁=-4

x₂=0.5

x₃=-6

m * (m-5) * (2m+1) = 0

m=0, или m-5=0, или 2m+1=0

m₁=0

m₂=5 (m-5=0 = > m=5)

m₃=-0.5 (2m+1=0 = > 2m=-1 = > m=-0.5)

m * (m-3) * (6+2m) = 0

m=0

(m-3) * (6+2m) = 0

6m+2m²-18-6m=0

2m²-18=0

2m²=18

m²=9

m=√9

m₁=0

m₂=3

m₃=-3