What are the solutions to the equation 2x^3-4x^2=0 ?

The solutions to the equation 2x^3-4x^2=0 are x=0,x=2

Find the zeros of 2x^3-4x^2=0

The zeros of 2x^3-4x^2=0 are x=0,x=2

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

x = 0, x = 2

Solution steps

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

Factor

2 x^{3} - 4 x^{2} : 2 x^{2} (x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 2 = 0

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = 2

(x^{2} + 3 x + 4) (x^{2} - 1) = 0

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

4 x^{3} + 6 x^{2} + 2 x = 0

x^{4} = 8 x

x^{3} + 5 x^{2} - 20 = 0

What are the solutions to the equation 2x^3-4x^2=0 ?
The solutions to the equation 2x^3-4x^2=0 are x=0,x=2
Find the zeros of 2x^3-4x^2=0
The zeros of 2x^3-4x^2=0 are x=0,x=2