What are the solutions to the equation x^3+5x^2+6x=-30 ?

The solutions to the equation x^3+5x^2+6x=-30 are x=-5,x=sqrt(6)i,x=-sqrt(6)i

Find the zeros of x^3+5x^2+6x=-30

The zeros of x^3+5x^2+6x=-30 are x=-5,x=sqrt(6)i,x=-sqrt(6)i

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x^{3} + 5 x^{2} + 6 x = - 30

x = - 5, x = 6 i, x = - 6 i

Solution steps

x^{3} + 5 x^{2} + 6 x = - 30

Move

30

to the left side

x^{3} + 5 x^{2} + 6 x + 30 = 0

Factor

x^{3} + 5 x^{2} + 6 x + 30 : (x + 5) (x^{2} + 6)

(x + 5) (x^{2} + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} + 6 = 0

Solve

x + 5 = 0 : x = - 5

Solve

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

The solutions are

x = - 5, x = 6 i, x = - 6 i

4 (x + 4)^{4} - 53 (x + 4)^{2} = - 49

0 = x^{3} - 2 x^{2} - 11 x + 12

a \cdot a \cdot a = 3 a

2 x^{3} + 3 x^{2} - 17 x + 12 = 0

z^{4} - 49 = 0

What are the solutions to the equation x^3+5x^2+6x=-30 ?
The solutions to the equation x^3+5x^2+6x=-30 are x=-5,x=sqrt(6)i,x=-sqrt(6)i
Find the zeros of x^3+5x^2+6x=-30
The zeros of x^3+5x^2+6x=-30 are x=-5,x=sqrt(6)i,x=-sqrt(6)i