What are the solutions to the equation m^3+12m^2+36m=0 ?

The solutions to the equation m^3+12m^2+36m=0 are m=0,m=-6

Find the zeros of m^3+12m^2+36m=0

The zeros of m^3+12m^2+36m=0 are m=0,m=-6

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m^{3} + 12 m^{2} + 36 m = 0

m = 0, m = - 6

Solution steps

m^{3} + 12 m^{2} + 36 m = 0

Factor

m^{3} + 12 m^{2} + 36 m : m (m + 6)^{2}

m (m + 6)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

m = 0 or m + 6 = 0

Solve

m + 6 = 0 : m = - 6

The solutions are

m = 0, m = - 6

x^{4} + 13 x^{2} - 48 = 0

x^{4} + 4

25 x^{3} = 64 x

z^{4} - 2 z^{2} + 2 = 0

5 x^{3} = 1080

What are the solutions to the equation m^3+12m^2+36m=0 ?
The solutions to the equation m^3+12m^2+36m=0 are m=0,m=-6
Find the zeros of m^3+12m^2+36m=0
The zeros of m^3+12m^2+36m=0 are m=0,m=-6