What are the solutions to the equation solvefor x,125x=5x^3 ?

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

Find the zeros of solvefor x,125x=5x^3

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

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solve for

x, 125 x = 5 x^{3}

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

Solution steps

125 x = 5 x^{3}

Move

5 x^{3}

to the left side

125 x - 5 x^{3} = 0

Factor

125 x - 5 x^{3} : - 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

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

x^{4} - 2 x^{3} - 8 x - 16 = 0

0.12 = x^{4} - 1

x, x^{4} + 7 x^{2} - 16 = 0

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

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