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

The solutions to the equation 2x^3-x^2-21x=0 are x=0,x=-3,x= 7/2

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

The zeros of 2x^3-x^2-21x=0 are x=0,x=-3,x= 7/2

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

x = 0, x = - 3, x = \frac{7}{2}

Decimal Notation

x = 0, x = - 3, x = 3.5

Solution steps

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

Factor

2 x^{3} - x^{2} - 21 x : x (x + 3) (2 x - 7)

x (x + 3) (2 x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or 2 x - 7 = 0

Solve

x + 3 = 0 : x = - 3

Solve

2 x - 7 = 0 : x = \frac{7}{2}

The solutions are

x = 0, x = - 3, x = \frac{7}{2}

x^{4} - 20 x^{2} + 100 = 0

x^{3} + 12 x^{2} = - 35 x

t^{3} - t = 0

51 = 45 + z^{11}

- 11 x^{3} - 18 = 8

What are the solutions to the equation 2x^3-x^2-21x=0 ?
The solutions to the equation 2x^3-x^2-21x=0 are x=0,x=-3,x= 7/2
Find the zeros of 2x^3-x^2-21x=0
The zeros of 2x^3-x^2-21x=0 are x=0,x=-3,x= 7/2