What are the solutions to the equation 125x^3+150x^2+60x=0 ?

The solutions to the equation 125x^3+150x^2+60x=0 are x=0,x=-3/5+i(sqrt(3))/5 ,x=-3/5-i(sqrt(3))/5

Find the zeros of 125x^3+150x^2+60x=0

The zeros of 125x^3+150x^2+60x=0 are x=0,x=-3/5+i(sqrt(3))/5 ,x=-3/5-i(sqrt(3))/5

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125 x^{3} + 150 x^{2} + 60 x = 0

x = 0, x = - \frac{3}{5} + i \frac{3}{5}, x = - \frac{3}{5} - i \frac{3}{5}

Solution steps

125 x^{3} + 150 x^{2} + 60 x = 0

Factor

125 x^{3} + 150 x^{2} + 60 x : 5 x (25 x^{2} + 30 x + 12)

5 x (25 x^{2} + 30 x + 12) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 25 x^{2} + 30 x + 12 = 0

Solve

25 x^{2} + 30 x + 12 = 0 : x = - \frac{3}{5} + i \frac{3}{5}, x = - \frac{3}{5} - i \frac{3}{5}

The solutions are

x = 0, x = - \frac{3}{5} + i \frac{3}{5}, x = - \frac{3}{5} - i \frac{3}{5}

[(2 - x) \cdot (5 - 6 + 3)]^{3} x [(2 - 3) + (6 - 7 - 1)^{2}] = - 192

x^{22} x - 8 = 0

y, (x^{2} + y^{2} + a x)^{2} = a^{2} (x^{2} + y^{2})

n^{3} = - 8

x^{3} + 24 x + 16 = 0

What are the solutions to the equation 125x^3+150x^2+60x=0 ?
The solutions to the equation 125x^3+150x^2+60x=0 are x=0,x=-3/5+i(sqrt(3))/5 ,x=-3/5-i(sqrt(3))/5
Find the zeros of 125x^3+150x^2+60x=0
The zeros of 125x^3+150x^2+60x=0 are x=0,x=-3/5+i(sqrt(3))/5 ,x=-3/5-i(sqrt(3))/5