What are the solutions to the equation 18x^2+5x=8x^3 ?

The solutions to the equation 18x^2+5x=8x^3 are x=0,x=-1/4 ,x= 5/2

Find the zeros of 18x^2+5x=8x^3

The zeros of 18x^2+5x=8x^3 are x=0,x=-1/4 ,x= 5/2

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18 x^{2} + 5 x = 8 x^{3}

x = 0, x = - \frac{1}{4}, x = \frac{5}{2}

Decimal Notation

x = 0, x = - 0.25, x = 2.5

Solution steps

18 x^{2} + 5 x = 8 x^{3}

Switch sides

8 x^{3} = 18 x^{2} + 5 x

Move

5 x

to the left side

8 x^{3} - 5 x = 18 x^{2}

Move

18 x^{2}

to the left side

8 x^{3} - 5 x - 18 x^{2} = 0

Factor

8 x^{3} - 5 x - 18 x^{2} : x (4 x + 1) (2 x - 5)

x (4 x + 1) (2 x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x + 1 = 0 or 2 x - 5 = 0

Solve

4 x + 1 = 0 : x = - \frac{1}{4}

Solve

2 x - 5 = 0 : x = \frac{5}{2}

The solutions are

x = 0, x = - \frac{1}{4}, x = \frac{5}{2}

x, 1.21 x^{10} = x + 2

16 + x^{3} = 9 x^{2} + 16

x - 2 x^{3} = 0

625 x^{4} + 225 x^{3} + x^{2} + 18 x = 0

x^{3} + 54 x = 0

What are the solutions to the equation 18x^2+5x=8x^3 ?
The solutions to the equation 18x^2+5x=8x^3 are x=0,x=-1/4 ,x= 5/2
Find the zeros of 18x^2+5x=8x^3
The zeros of 18x^2+5x=8x^3 are x=0,x=-1/4 ,x= 5/2