What are the solutions to the equation x^3(x^2-10)=-9x ?

The solutions to the equation x^3(x^2-10)=-9x are x=0,x=-1,x=1,x=-3,x=3

Find the zeros of x^3(x^2-10)=-9x

The zeros of x^3(x^2-10)=-9x are x=0,x=-1,x=1,x=-3,x=3

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x^{3} (x^{2} - 10) = - 9 x

x = 0, x = - 1, x = 1, x = - 3, x = 3

Solution steps

x^{3} (x^{2} - 10) = - 9 x

Move

9 x

to the left side

x^{3} (x^{2} - 10) + 9 x = 0

Factor

x^{3} (x^{2} - 10) + 9 x : x (x + 1) (x - 1) (x + 3) (x - 3)

x (x + 1) (x - 1) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 1 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 1, x = 1, x = - 3, x = 3

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

2^{3} = x^{12}

6 x^{3} + 7 x^{2} - 1 = 0

x^{3} + x^{2} + 2 x + 5 = 0

b x^{3} = 15

What are the solutions to the equation x^3(x^2-10)=-9x ?
The solutions to the equation x^3(x^2-10)=-9x are x=0,x=-1,x=1,x=-3,x=3
Find the zeros of x^3(x^2-10)=-9x
The zeros of x^3(x^2-10)=-9x are x=0,x=-1,x=1,x=-3,x=3