What are the solutions to the equation 6x-5x^2-x^3=0 ?

The solutions to the equation 6x-5x^2-x^3=0 are x=0,x=1,x=-6

Find the zeros of 6x-5x^2-x^3=0

The zeros of 6x-5x^2-x^3=0 are x=0,x=1,x=-6

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6 x - 5 x^{2} - x^{3} = 0

x = 0, x = 1, x = - 6

Solution steps

6 x - 5 x^{2} - x^{3} = 0

Factor

6 x - 5 x^{2} - x^{3} : - x (x - 1) (x + 6)

- x (x - 1) (x + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 1 = 0 or x + 6 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 6 = 0 : x = - 6

The solutions are

x = 0, x = 1, x = - 6

(x + 1)^{2} - 3 x (x + 1)^{2} = 0

3 a^{4} + 2 a - 46 = 54

- 2 x^{4} + 9 = 2 x - 1

- 2 x^{4} + 9 = 2 x - 3

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

What are the solutions to the equation 6x-5x^2-x^3=0 ?
The solutions to the equation 6x-5x^2-x^3=0 are x=0,x=1,x=-6
Find the zeros of 6x-5x^2-x^3=0
The zeros of 6x-5x^2-x^3=0 are x=0,x=1,x=-6