What are the solutions to the equation 3x^2=9x^3 ?

The solutions to the equation 3x^2=9x^3 are x=0,x= 1/3

Find the zeros of 3x^2=9x^3

The zeros of 3x^2=9x^3 are x=0,x= 1/3

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3 x^{2} = 9 x^{3}

x = 0, x = \frac{1}{3}

Decimal Notation

x = 0, x = 0.33333 \dots

Solution steps

3 x^{2} = 9 x^{3}

Move

9 x^{3}

to the left side

3 x^{2} - 9 x^{3} = 0

Factor

3 x^{2} - 9 x^{3} : - 3 x^{2} (3 x - 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x - 1 = 0

Solve

3 x - 1 = 0 : x = \frac{1}{3}

The solutions are

x = 0, x = \frac{1}{3}

(x + 2)^{4} = (x - 10)^{2}

x^{5} = - 2

x, 3 y^{3} = 3 x^{3} + 11 y - 3

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

24 x^{3} - 2 x^{2} - 5 x + 1 = 0

What are the solutions to the equation 3x^2=9x^3 ?
The solutions to the equation 3x^2=9x^3 are x=0,x= 1/3
Find the zeros of 3x^2=9x^3
The zeros of 3x^2=9x^3 are x=0,x= 1/3