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

The solutions to the equation n^3+n^2-6n=0 are n=0,n=2,n=-3

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

The zeros of n^3+n^2-6n=0 are n=0,n=2,n=-3

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n^{3} + n^{2} - 6 n = 0

n = 0, n = 2, n = - 3

Solution steps

n^{3} + n^{2} - 6 n = 0

Factor

n^{3} + n^{2} - 6 n : n (n - 2) (n + 3)

n (n - 2) (n + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

n = 0 or n - 2 = 0 or n + 3 = 0

Solve

n - 2 = 0 : n = 2

Solve

n + 3 = 0 : n = - 3

The solutions are

n = 0, n = 2, n = - 3

2 x^{3} - 11 x^{2} + 3 x + 36 = 0

3 x^{3} - 5 x^{2} + 148 x + 50

x^{3} - 9 x^{2} + x - 9 = 0

- x^{3} + 12 x = 0

81 x^{4} - 100 x^{2} = 0

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