What are the solutions to the equation (x-1)*x*(x+1)=210 ?

The solutions to the equation (x-1)*x*(x+1)=210 are x=6,x=-3+sqrt(26)i,x=-3-sqrt(26)i

Find the zeros of (x-1)*x*(x+1)=210

The zeros of (x-1)*x*(x+1)=210 are x=6,x=-3+sqrt(26)i,x=-3-sqrt(26)i

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(x - 1) \cdot x \cdot (x + 1) = 210

x = 6, x = - 3 + 26 i, x = - 3 - 26 i

Solution steps

(x - 1) x (x + 1) = 210

Expand

(x - 1) x (x + 1) : x^{3} - x

x^{3} - x = 210

Move

210

to the left side

x^{3} - x - 210 = 0

Factor

x^{3} - x - 210 : (x - 6) (x^{2} + 6 x + 35)

(x - 6) (x^{2} + 6 x + 35) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 6 = 0 or x^{2} + 6 x + 35 = 0

Solve

x - 6 = 0 : x = 6

Solve

x^{2} + 6 x + 35 = 0 : x = - 3 + 26 i, x = - 3 - 26 i

The solutions are

x = 6, x = - 3 + 26 i, x = - 3 - 26 i

20 x^{3} + 100 x^{2} + 120 x = 0

(x^{2} + 8 x + 15)^{5} = 0

- x^{3} - 6 x^{2} + 124 x + 264 = 0

3 m^{3} + 33 m^{2} + 90 m = 0

- 1 = 7 x^{3} + 1

What are the solutions to the equation (x-1)*x*(x+1)=210 ?
The solutions to the equation (x-1)*x*(x+1)=210 are x=6,x=-3+sqrt(26)i,x=-3-sqrt(26)i
Find the zeros of (x-1)*x*(x+1)=210
The zeros of (x-1)*x*(x+1)=210 are x=6,x=-3+sqrt(26)i,x=-3-sqrt(26)i