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

The solutions to the equation 2x^3=x^2 are x=0,x= 1/2

Find the zeros of 2x^3=x^2

The zeros of 2x^3=x^2 are x=0,x= 1/2

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2 x^{3} = x^{2}

x = 0, x = \frac{1}{2}

Decimal Notation

x = 0, x = 0.5

Solution steps

2 x^{3} = x^{2}

Move

x^{2}

to the left side

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

Factor

2 x^{3} - x^{2} : x^{2} (2 x - 1)

x^{2} (2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x - 1 = 0

Solve

2 x - 1 = 0 : x = \frac{1}{2}

The solutions are

x = 0, x = \frac{1}{2}

4 x^{3} + x^{2} - 36 x - 9 = 0

(x + 2) (x - 1) (x - 3) = - 3

m^{3} = 2

- x^{3} + x^{2} + 14 x + 11 = 0

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

What are the solutions to the equation 2x^3=x^2 ?
The solutions to the equation 2x^3=x^2 are x=0,x= 1/2
Find the zeros of 2x^3=x^2
The zeros of 2x^3=x^2 are x=0,x= 1/2