What are the solutions to the equation 2x^3-6x^2-20x=0 ?

The solutions to the equation 2x^3-6x^2-20x=0 are x=0,x=-2,x=5

Find the zeros of 2x^3-6x^2-20x=0

The zeros of 2x^3-6x^2-20x=0 are x=0,x=-2,x=5

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2 x^{3} - 6 x^{2} - 20 x = 0

x = 0, x = - 2, x = 5

Solution steps

2 x^{3} - 6 x^{2} - 20 x = 0

Factor

2 x^{3} - 6 x^{2} - 20 x : 2 x (x + 2) (x - 5)

2 x (x + 2) (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 5 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 5 = 0 : x = 5

The solutions are

x = 0, x = - 2, x = 5

x^{4} - 12 x^{2} + 36 = 0

12 x^{3} - 30 x^{2} - 24 x + 12 = 0

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

4 x^{4} - 19 x^{2} + 12 = 0

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

What are the solutions to the equation 2x^3-6x^2-20x=0 ?
The solutions to the equation 2x^3-6x^2-20x=0 are x=0,x=-2,x=5
Find the zeros of 2x^3-6x^2-20x=0
The zeros of 2x^3-6x^2-20x=0 are x=0,x=-2,x=5