What are the solutions to the equation 3x^3-6x^2=6x^2+36x ?

The solutions to the equation 3x^3-6x^2=6x^2+36x are x=0,x=-2,x=6

Find the zeros of 3x^3-6x^2=6x^2+36x

The zeros of 3x^3-6x^2=6x^2+36x are x=0,x=-2,x=6

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3 x^{3} - 6 x^{2} = 6 x^{2} + 36 x

x = 0, x = - 2, x = 6

Solution steps

3 x^{3} - 6 x^{2} = 6 x^{2} + 36 x

Move

36 x

to the left side

3 x^{3} - 6 x^{2} - 36 x = 6 x^{2}

Move

6 x^{2}

to the left side

3 x^{3} - 12 x^{2} - 36 x = 0

Factor

3 x^{3} - 12 x^{2} - 36 x : 3 x (x + 2) (x - 6)

3 x (x + 2) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 6 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = - 2, x = 6

w^{3} = - 2 + 23 i

y^{5} - 6 = 8

y^{4} - y = 0

3 x^{3} + 2 x^{2} - 27 x - 18 = 0

(3 - x) (x^{2} + 15) = 0

What are the solutions to the equation 3x^3-6x^2=6x^2+36x ?
The solutions to the equation 3x^3-6x^2=6x^2+36x are x=0,x=-2,x=6
Find the zeros of 3x^3-6x^2=6x^2+36x
The zeros of 3x^3-6x^2=6x^2+36x are x=0,x=-2,x=6