What are the solutions to the equation 50x=2x^3 ?

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

Find the zeros of 50x=2x^3

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

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50 x = 2 x^{3}

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

Solution steps

50 x = 2 x^{3}

Move

2 x^{3}

to the left side

50 x - 2 x^{3} = 0

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 5 = 0 : x = - 5

Solve

x - 5 = 0 : x = 5

The solutions are

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

x^{4} - 4 x^{3} = 0

8 z^{3} - 1 = 0

x^{3} - 17 x^{2} + 72 x = 0

5 x^{3} - 5 x^{2} - 10 x = 0

x^{3} + 6 x^{2} + 3 x - 10 = 0

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