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

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

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

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

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

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

Solution steps

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

Move

6 x

to the left side

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

(5 x - 2)^{3} - (5 x - 2) = 0

(x + 1)^{3} + x + 1 = 0

x^{3} + 25.3 x^{2} + 219.5 x + 660.1 = 0

x^{5} - 50 = 0

10750 = 5000 \cdot (1 + x)^{6}

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