What are the solutions to the equation 5x^3-125x=0 ?

The solutions to the equation 5x^3-125x=0 are x=0,x=-5,x=5

Find the zeros of 5x^3-125x=0

The zeros of 5x^3-125x=0 are x=0,x=-5,x=5

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5 x^{3} - 125 x = 0

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

Solution steps

5 x^{3} - 125 x = 0

Factor

5 x^{3} - 125 x : 5 x (x + 5) (x - 5)

5 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} + 5 x^{3} - 7 x^{2} - 8 x - 12 = 0

2 x^{3} + x^{2} - 7 x - 6 = 0

x, y = 2 x^{3}

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

x^{3} + 6 x^{2} + 5 x + 30 = 0

What are the solutions to the equation 5x^3-125x=0 ?
The solutions to the equation 5x^3-125x=0 are x=0,x=-5,x=5
Find the zeros of 5x^3-125x=0
The zeros of 5x^3-125x=0 are x=0,x=-5,x=5