What are the solutions to the equation 9x^3=4x^2 ?

The solutions to the equation 9x^3=4x^2 are x=0,x= 4/9

Find the zeros of 9x^3=4x^2

The zeros of 9x^3=4x^2 are x=0,x= 4/9

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9 x^{3} = 4 x^{2}

x = 0, x = \frac{4}{9}

Decimal Notation

x = 0, x = 0.44444 \dots

Solution steps

9 x^{3} = 4 x^{2}

Move

4 x^{2}

to the left side

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

Factor

9 x^{3} - 4 x^{2} : x^{2} (9 x - 4)

x^{2} (9 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 9 x - 4 = 0

Solve

9 x - 4 = 0 : x = \frac{4}{9}

The solutions are

x = 0, x = \frac{4}{9}

15651.63 = 3000 (1 + x)^{3}

9 w^{2} + 17 w + 12 = 3 w^{2} 3 w^{2}

x + x^{2} - x^{4} + x^{8} = 125

s^{3} + 6 s^{2} + 5 s + 30 = 0

49 x^{4} + 9 = 58 x^{2}

What are the solutions to the equation 9x^3=4x^2 ?
The solutions to the equation 9x^3=4x^2 are x=0,x= 4/9
Find the zeros of 9x^3=4x^2
The zeros of 9x^3=4x^2 are x=0,x= 4/9