What are the solutions to the equation 3x^3-2x^2-5x=0 ?

The solutions to the equation 3x^3-2x^2-5x=0 are x=0,x=-1,x= 5/3

Find the zeros of 3x^3-2x^2-5x=0

The zeros of 3x^3-2x^2-5x=0 are x=0,x=-1,x= 5/3

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

x = 0, x = - 1, x = \frac{5}{3}

Solution steps

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

Factor

3 x^{3} - 2 x^{2} - 5 x : x (x + 1) (3 x - 5)

x (x + 1) (3 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or 3 x - 5 = 0

Solve

x + 1 = 0 : x = - 1

Solve

3 x - 5 = 0 : x = \frac{5}{3}

The solutions are

x = 0, x = - 1, x = \frac{5}{3}

175 = 5 x^{3}

x, x^{3} = 1 0^{6}

- x^{3} - x^{2} + 8 x - 12 = 0

4 x^{3} - 3 x^{2} + 3 x - 1 = 0

- 4 (x - 8)^{3} = 0

What are the solutions to the equation 3x^3-2x^2-5x=0 ?
The solutions to the equation 3x^3-2x^2-5x=0 are x=0,x=-1,x= 5/3
Find the zeros of 3x^3-2x^2-5x=0
The zeros of 3x^3-2x^2-5x=0 are x=0,x=-1,x= 5/3