What are the solutions to the equation 5x^3-10x^2+10x=0 ?

The solutions to the equation 5x^3-10x^2+10x=0 are x=0,x=1+i,x=1-i

Find the zeros of 5x^3-10x^2+10x=0

The zeros of 5x^3-10x^2+10x=0 are x=0,x=1+i,x=1-i

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

x = 0, x = 1 + i, x = 1 - i

Solution steps

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

Factor

5 x^{3} - 10 x^{2} + 10 x : 5 x (x^{2} - 2 x + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 2 x + 2 = 0

Solve

x^{2} - 2 x + 2 = 0 : x = 1 + i, x = 1 - i

The solutions are

x = 0, x = 1 + i, x = 1 - i

5 y^{3} - 29 y^{2} - 6 y = 0

2 x^{3} - 23 = 35

x^{3} = 4 x^{2} + 5 x

x^{4} - 7 x^{2} - 12 = 0

n^{3} = 512729

What are the solutions to the equation 5x^3-10x^2+10x=0 ?
The solutions to the equation 5x^3-10x^2+10x=0 are x=0,x=1+i,x=1-i
Find the zeros of 5x^3-10x^2+10x=0
The zeros of 5x^3-10x^2+10x=0 are x=0,x=1+i,x=1-i