What are the solutions to the equation 16x^2=84x^3 ?

The solutions to the equation 16x^2=84x^3 are x=0,x= 4/21

Find the zeros of 16x^2=84x^3

The zeros of 16x^2=84x^3 are x=0,x= 4/21

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16 x^{2} = 84 x^{3}

x = 0, x = \frac{4}{21}

Decimal Notation

x = 0, x = 0.19047 \dots

Solution steps

16 x^{2} = 84 x^{3}

Move

84 x^{3}

to the left side

16 x^{2} - 84 x^{3} = 0

Factor

16 x^{2} - 84 x^{3} : - 4 x^{2} (21 x - 4)

- 4 x^{2} (21 x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 21 x - 4 = 0

Solve

21 x - 4 = 0 : x = \frac{4}{21}

The solutions are

x = 0, x = \frac{4}{21}

x^{3} + x^{2} + x = 10

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

16 x^{4} = (x - 4)^{4}

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

x^{4} - 2 x^{2} - x + 1 = 0

What are the solutions to the equation 16x^2=84x^3 ?
The solutions to the equation 16x^2=84x^3 are x=0,x= 4/21
Find the zeros of 16x^2=84x^3
The zeros of 16x^2=84x^3 are x=0,x= 4/21