What are the solutions to the equation x*(x^2+6x+8)=1680 ?

The solutions to the equation x*(x^2+6x+8)=1680 are x=10,x=-8+2sqrt(26)i,x=-8-2sqrt(26)i

Find the zeros of x*(x^2+6x+8)=1680

The zeros of x*(x^2+6x+8)=1680 are x=10,x=-8+2sqrt(26)i,x=-8-2sqrt(26)i

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x \cdot (x^{2} + 6 x + 8) = 1680

x = 10, x = - 8 + 226 i, x = - 8 - 226 i

Solution steps

x (x^{2} + 6 x + 8) = 1680

Expand

x (x^{2} + 6 x + 8) : x^{3} + 6 x^{2} + 8 x

x^{3} + 6 x^{2} + 8 x = 1680

Move

1680

to the left side

x^{3} + 6 x^{2} + 8 x - 1680 = 0

Factor

x^{3} + 6 x^{2} + 8 x - 1680 : (x - 10) (x^{2} + 16 x + 168)

(x - 10) (x^{2} + 16 x + 168) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 10 = 0 or x^{2} + 16 x + 168 = 0

Solve

x - 10 = 0 : x = 10

Solve

x^{2} + 16 x + 168 = 0 : x = - 8 + 226 i, x = - 8 - 226 i

The solutions are

x = 10, x = - 8 + 226 i, x = - 8 - 226 i

3 b^{2} - 125 b^{3} = 8

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

d^{4} + 2 d^{3} + 3 d^{2} + 2 d + 1 = 0

(x + 0.2)^{5} = 1

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

What are the solutions to the equation x*(x^2+6x+8)=1680 ?
The solutions to the equation x*(x^2+6x+8)=1680 are x=10,x=-8+2sqrt(26)i,x=-8-2sqrt(26)i
Find the zeros of x*(x^2+6x+8)=1680
The zeros of x*(x^2+6x+8)=1680 are x=10,x=-8+2sqrt(26)i,x=-8-2sqrt(26)i