What are the solutions to the equation 0=m^3+6m^2+9m ?

The solutions to the equation 0=m^3+6m^2+9m are m=0,m=-3

Find the zeros of 0=m^3+6m^2+9m

The zeros of 0=m^3+6m^2+9m are m=0,m=-3

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0 = m^{3} + 6 m^{2} + 9 m

m = 0, m = - 3

Solution steps

0 = m^{3} + 6 m^{2} + 9 m

Switch sides

m^{3} + 6 m^{2} + 9 m = 0

Factor

m^{3} + 6 m^{2} + 9 m : m (m + 3)^{2}

m (m + 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m = 0 or m + 3 = 0

Solve

m + 3 = 0 : m = - 3

The solutions are

m = 0, m = - 3

27 y^{3} - 27 y^{2} + 9 y - 1 = 0

x^{5} + 2 x^{3} + x - 1 = 3

x^{6} - 25 x^{4} - 16 x^{2} + 400 = 0

7 y^{3} + 17 y^{2} = 12 y

x, x^{3} + (y - 1)^{2} = 9

What are the solutions to the equation 0=m^3+6m^2+9m ?
The solutions to the equation 0=m^3+6m^2+9m are m=0,m=-3
Find the zeros of 0=m^3+6m^2+9m
The zeros of 0=m^3+6m^2+9m are m=0,m=-3