What are the solutions to the equation 5x^3+30x^2+45x=0 ?

The solutions to the equation 5x^3+30x^2+45x=0 are x=0,x=-3

Find the zeros of 5x^3+30x^2+45x=0

The zeros of 5x^3+30x^2+45x=0 are x=0,x=-3

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5 x^{3} + 30 x^{2} + 45 x = 0

x = 0, x = - 3

Solution steps

5 x^{3} + 30 x^{2} + 45 x = 0

Factor

5 x^{3} + 30 x^{2} + 45 x : 5 x (x + 3)^{2}

5 x (x + 3)^{2} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 3 = 0

Solve

x + 3 = 0 : x = - 3

The solutions are

x = 0, x = - 3

x^{4} - x = 0

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

7 x^{4} = 56

x^{4} + 8 x^{2} - 9 = 0

x^{3} = - 64

What are the solutions to the equation 5x^3+30x^2+45x=0 ?
The solutions to the equation 5x^3+30x^2+45x=0 are x=0,x=-3
Find the zeros of 5x^3+30x^2+45x=0
The zeros of 5x^3+30x^2+45x=0 are x=0,x=-3