What are the solutions to the equation 6x^3-21x^2-12x=0 ?

The solutions to the equation 6x^3-21x^2-12x=0 are x=0,x=-1/2 ,x=4

Find the zeros of 6x^3-21x^2-12x=0

The zeros of 6x^3-21x^2-12x=0 are x=0,x=-1/2 ,x=4

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6 x^{3} - 21 x^{2} - 12 x = 0

x = 0, x = - \frac{1}{2}, x = 4

Solution steps

6 x^{3} - 21 x^{2} - 12 x = 0

Factor

6 x^{3} - 21 x^{2} - 12 x : 3 x (2 x + 1) (x - 4)

3 x (2 x + 1) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 1 = 0 or x - 4 = 0

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = - \frac{1}{2}, x = 4

p^{3} - 4 p = 0

605 = 5 x^{3}

b^{3} - b = 0

12 x^{4} + 7 x^{3} - 42 x^{2} - x = 0

x^{3} + 7 x^{2} = 4 (x + 7)

What are the solutions to the equation 6x^3-21x^2-12x=0 ?
The solutions to the equation 6x^3-21x^2-12x=0 are x=0,x=-1/2 ,x=4
Find the zeros of 6x^3-21x^2-12x=0
The zeros of 6x^3-21x^2-12x=0 are x=0,x=-1/2 ,x=4