What are the solutions to the equation 4x^3+24x^2+36x=0 ?

The solutions to the equation 4x^3+24x^2+36x=0 are x=0,x=-3

Find the zeros of 4x^3+24x^2+36x=0

The zeros of 4x^3+24x^2+36x=0 are x=0,x=-3

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4 x^{3} + 24 x^{2} + 36 x = 0

x = 0, x = - 3

Solution steps

4 x^{3} + 24 x^{2} + 36 x = 0

Factor

4 x^{3} + 24 x^{2} + 36 x : 4 x (x + 3)^{2}

4 x (x + 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 0, x = - 3

x^{3} - 4 x^{2} - 2 x + 3 = 0

x^{3} - 6 x^{2} + 9 x + 2 = 0

(- x - 2) (x^{2} + 4 x + 3) = 0

2 x^{3} - x = 0

z^{3} + 4 z^{2} + 6 z + 4 = 0

What are the solutions to the equation 4x^3+24x^2+36x=0 ?
The solutions to the equation 4x^3+24x^2+36x=0 are x=0,x=-3
Find the zeros of 4x^3+24x^2+36x=0
The zeros of 4x^3+24x^2+36x=0 are x=0,x=-3