What are the solutions to the equation x^3+6x^2-x-30=0 ?

The solutions to the equation x^3+6x^2-x-30=0 are x=2,x=-3,x=-5

Find the zeros of x^3+6x^2-x-30=0

The zeros of x^3+6x^2-x-30=0 are x=2,x=-3,x=-5

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

x = 2, x = - 3, x = - 5

Solution steps

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

Factor

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

(x - 2) (x + 3) (x + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x + 3 = 0 or x + 5 = 0

Solve

x - 2 = 0 : x = 2

Solve

x + 3 = 0 : x = - 3

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 2, x = - 3, x = - 5

q^{3} - q^{2} - 30 q = 0

y, x y = x y

3 x + 1 + 4 x - 3 = 5 x + 4

- \frac{2}{3 x ^{\frac{1}{3}}} = 0

y, x = y

What are the solutions to the equation x^3+6x^2-x-30=0 ?
The solutions to the equation x^3+6x^2-x-30=0 are x=2,x=-3,x=-5
Find the zeros of x^3+6x^2-x-30=0
The zeros of x^3+6x^2-x-30=0 are x=2,x=-3,x=-5