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

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

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

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

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

x = 0, x = 3

Solution steps

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

Switch sides

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

Move

3 x^{2}

to the left side

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

Factor

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

x^{2} (x - 3) = 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

(3 v - 21) (v^{2} + 7 v + 10) = 0

25 x = 50 x^{3}

x^{3} + 1728 = 0

x^{4} - 5 x^{3} + 8 x^{2} - x - 5 = 0

d^{3} = 125

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