What are the solutions to the equation x^4+9x^3+18x^2=0 ?

The solutions to the equation x^4+9x^3+18x^2=0 are x=0,x=-3,x=-6

Find the zeros of x^4+9x^3+18x^2=0

The zeros of x^4+9x^3+18x^2=0 are x=0,x=-3,x=-6

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x^{4} + 9 x^{3} + 18 x^{2} = 0

x = 0, x = - 3, x = - 6

Solution steps

x^{4} + 9 x^{3} + 18 x^{2} = 0

Factor

x^{4} + 9 x^{3} + 18 x^{2} : x^{2} (x + 3) (x + 6)

x^{2} (x + 3) (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x + 6 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x + 6 = 0 : x = - 6

The solutions are

x = 0, x = - 3, x = - 6

3 x^{3} = 8 x^{2} - 4 x

x^{3} + 8 = - 56

12 x^{4} + 11 x^{3} - 26 x^{2} + x + 2 = 0

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

6 (5 x^{4} - 6 x^{2} + 1) = 0

What are the solutions to the equation x^4+9x^3+18x^2=0 ?
The solutions to the equation x^4+9x^3+18x^2=0 are x=0,x=-3,x=-6
Find the zeros of x^4+9x^3+18x^2=0
The zeros of x^4+9x^3+18x^2=0 are x=0,x=-3,x=-6