What are the solutions to the equation x^3+x^2-6x=0 ?

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

Find the zeros of x^3+x^2-6x=0

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

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

x = 0, x = 2, x = - 3

Solution steps

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

Factor

x^{3} + x^{2} - 6 x : x (x - 2) (x + 3)

x (x - 2) (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0 or x + 3 = 0

Solve

x - 2 = 0 : x = 2

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 0, x = 2, x = - 3

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

z^{4} - i = 0

x, y = x^{3}

4 x^{4} - 37 x^{2} + 9 = 0

27 x^{3} - 343 = 0

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