What are the solutions to the equation 3x^3+9x^2+8x=0 ?

The solutions to the equation 3x^3+9x^2+8x=0 are x=0,x=-3/2+i(sqrt(15))/6 ,x=-3/2-i(sqrt(15))/6

Find the zeros of 3x^3+9x^2+8x=0

The zeros of 3x^3+9x^2+8x=0 are x=0,x=-3/2+i(sqrt(15))/6 ,x=-3/2-i(sqrt(15))/6

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3 x^{3} + 9 x^{2} + 8 x = 0

x = 0, x = - \frac{3}{2} + i \frac{15}{6}, x = - \frac{3}{2} - i \frac{15}{6}

Solution steps

3 x^{3} + 9 x^{2} + 8 x = 0

Factor

3 x^{3} + 9 x^{2} + 8 x : x (3 x^{2} + 9 x + 8)

x (3 x^{2} + 9 x + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 3 x^{2} + 9 x + 8 = 0

Solve

3 x^{2} + 9 x + 8 = 0 : x = - \frac{3}{2} + i \frac{15}{6}, x = - \frac{3}{2} - i \frac{15}{6}

The solutions are

x = 0, x = - \frac{3}{2} + i \frac{15}{6}, x = - \frac{3}{2} - i \frac{15}{6}

2 x^{3} - 7 x^{2} + x + 10 = 0

(x - 3)^{10} = 0

x = x (x - 2)^{2}

2 x^{3} - x^{2} - 15 x + 18 = 0

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

What are the solutions to the equation 3x^3+9x^2+8x=0 ?
The solutions to the equation 3x^3+9x^2+8x=0 are x=0,x=-3/2+i(sqrt(15))/6 ,x=-3/2-i(sqrt(15))/6
Find the zeros of 3x^3+9x^2+8x=0
The zeros of 3x^3+9x^2+8x=0 are x=0,x=-3/2+i(sqrt(15))/6 ,x=-3/2-i(sqrt(15))/6