What are the solutions to the equation 5x^3-45x=0 ?

The solutions to the equation 5x^3-45x=0 are x=0,x=-3,x=3

Find the zeros of 5x^3-45x=0

The zeros of 5x^3-45x=0 are x=0,x=-3,x=3

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5 x^{3} - 45 x = 0

x = 0, x = - 3, x = 3

Solution steps

5 x^{3} - 45 x = 0

Factor

5 x^{3} - 45 x : 5 x (x + 3) (x - 3)

5 x (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 3, x = 3

t^{5} = 9 t^{3}

z^{8} = 256

m^{4} + m^{2} + 1 = 0

3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)

a, a^{3} - b^{3} = 0

What are the solutions to the equation 5x^3-45x=0 ?
The solutions to the equation 5x^3-45x=0 are x=0,x=-3,x=3
Find the zeros of 5x^3-45x=0
The zeros of 5x^3-45x=0 are x=0,x=-3,x=3