What are the solutions to the equation 8x^3-50x=0 ?

The solutions to the equation 8x^3-50x=0 are x=0,x=-5/2 ,x= 5/2

Find the zeros of 8x^3-50x=0

The zeros of 8x^3-50x=0 are x=0,x=-5/2 ,x= 5/2

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8 x^{3} - 50 x = 0

x = 0, x = - \frac{5}{2}, x = \frac{5}{2}

Solution steps

8 x^{3} - 50 x = 0

Factor

8 x^{3} - 50 x : 2 x (2 x + 5) (2 x - 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

2 x + 5 = 0 : x = - \frac{5}{2}

Solve

2 x - 5 = 0 : x = \frac{5}{2}

The solutions are

x = 0, x = - \frac{5}{2}, x = \frac{5}{2}

k^{3} - 4 k^{2} - 2 k + 8 = 0

x^{3} + 9 x^{2} + 27 x + 19 = 0

x^{3} = 3 x^{2}

2 x^{3} - 24 x^{2} + 64 x = 0

x^{3} + 4 x^{2} + 8 x + 10 = 0

What are the solutions to the equation 8x^3-50x=0 ?
The solutions to the equation 8x^3-50x=0 are x=0,x=-5/2 ,x= 5/2
Find the zeros of 8x^3-50x=0
The zeros of 8x^3-50x=0 are x=0,x=-5/2 ,x= 5/2