What are the solutions to the equation 270x-3x^2-3x^3=0 ?

The solutions to the equation 270x-3x^2-3x^3=0 are x=0,x=9,x=-10

Find the zeros of 270x-3x^2-3x^3=0

The zeros of 270x-3x^2-3x^3=0 are x=0,x=9,x=-10

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270 x - 3 x^{2} - 3 x^{3} = 0

x = 0, x = 9, x = - 10

Solution steps

270 x - 3 x^{2} - 3 x^{3} = 0

Factor

270 x - 3 x^{2} - 3 x^{3} : - 3 x (x - 9) (x + 10)

- 3 x (x - 9) (x + 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 9 = 0 or x + 10 = 0

Solve

x - 9 = 0 : x = 9

Solve

x + 10 = 0 : x = - 10

The solutions are

x = 0, x = 9, x = - 10

x^{3} - 100 x^{2} + 3200 x - 120 = 0

0 = x^{3} - 4 x^{2} - 12 x

2 a^{4} - 15 a^{2} + 28 = 0

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

5 x^{4} - 1 2^{3} = 0

What are the solutions to the equation 270x-3x^2-3x^3=0 ?
The solutions to the equation 270x-3x^2-3x^3=0 are x=0,x=9,x=-10
Find the zeros of 270x-3x^2-3x^3=0
The zeros of 270x-3x^2-3x^3=0 are x=0,x=9,x=-10