What are the solutions to the equation 5x^3=405x ?

The solutions to the equation 5x^3=405x are x=0,x=-9,x=9

Find the zeros of 5x^3=405x

The zeros of 5x^3=405x are x=0,x=-9,x=9

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5 x^{3} = 405 x

x = 0, x = - 9, x = 9

Solution steps

5 x^{3} = 405 x

Move

405 x

to the left side

5 x^{3} - 405 x = 0

Factor

5 x^{3} - 405 x : 5 x (x + 9) (x - 9)

5 x (x + 9) (x - 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 9 = 0 or x - 9 = 0

Solve

x + 9 = 0 : x = - 9

Solve

x - 9 = 0 : x = 9

The solutions are

x = 0, x = - 9, x = 9

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

x^{3} - 9 x^{2} + 27 x - 27

r^{3} - 2 r^{2} - 5 r + 6 = 0

z^{3} = 16 + 88 i

5 x^{4} - 6 x + 1 = 0

What are the solutions to the equation 5x^3=405x ?
The solutions to the equation 5x^3=405x are x=0,x=-9,x=9
Find the zeros of 5x^3=405x
The zeros of 5x^3=405x are x=0,x=-9,x=9