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

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

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

The zeros of 18x^3+5x=8x^3 are x=0,x= 1/(sqrt(2))i,x=-1/(sqrt(2))i

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

x = 0, x = \frac{1}{2} i, x = - \frac{1}{2} i

Solution steps

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

Move

8 x^{3}

to the left side

10 x^{3} + 5 x = 0

Factor

10 x^{3} + 5 x : 5 x (2 x^{2} + 1)

5 x (2 x^{2} + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x^{2} + 1 = 0

Solve

2 x^{2} + 1 = 0 : x = \frac{1}{2} i, x = - \frac{1}{2} i

The solutions are

x = 0, x = \frac{1}{2} i, x = - \frac{1}{2} i

- 10 x^{6} (- x + 3) = (- 6 x - 6) - 7 x

d^{4} - 45 d^{2} + 164 = 0

12 b^{5} - b^{4} = 0

x^{4} + x^{3} + 7 x^{2} + 9 x = 0

x^{4} - 3 x^{3} + 2 x^{2} - 7 x - 11 = 0

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