What are the solutions to the equation k^3+30k=-13k^2 ?

The solutions to the equation k^3+30k=-13k^2 are k=0,k=-3,k=-10

Find the zeros of k^3+30k=-13k^2

The zeros of k^3+30k=-13k^2 are k=0,k=-3,k=-10

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k^{3} + 30 k = - 13 k^{2}

k = 0, k = - 3, k = - 10

Solution steps

k^{3} + 30 k = - 13 k^{2}

Move

13 k^{2}

to the left side

k^{3} + 30 k + 13 k^{2} = 0

Factor

k^{3} + 30 k + 13 k^{2} : k (k + 3) (k + 10)

k (k + 3) (k + 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

k = 0 or k + 3 = 0 or k + 10 = 0

Solve

k + 3 = 0 : k = - 3

Solve

k + 10 = 0 : k = - 10

The solutions are

k = 0, k = - 3, k = - 10

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

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

x^{4} - 13 x^{2} + 42 = 0

- x^{3} + 88 x - 96 = 0

x, y^{2} = 4 (x + 4)^{3}

What are the solutions to the equation k^3+30k=-13k^2 ?
The solutions to the equation k^3+30k=-13k^2 are k=0,k=-3,k=-10
Find the zeros of k^3+30k=-13k^2
The zeros of k^3+30k=-13k^2 are k=0,k=-3,k=-10