What are the solutions to the equation x^3-6x^2-7x=0 ?

The solutions to the equation x^3-6x^2-7x=0 are x=0,x=-1,x=7

Find the zeros of x^3-6x^2-7x=0

The zeros of x^3-6x^2-7x=0 are x=0,x=-1,x=7

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x^{3} - 6 x^{2} - 7 x = 0

x = 0, x = - 1, x = 7

Solution steps

x^{3} - 6 x^{2} - 7 x = 0

Factor

x^{3} - 6 x^{2} - 7 x : x (x + 1) (x - 7)

x (x + 1) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 7 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 7 = 0 : x = 7

The solutions are

x = 0, x = - 1, x = 7

x^{4} - 5 x^{2} - 8 = 0

x^{5} (x + 1) (x - 1) = 0

y^{4} + 21 y^{2} - 100 = 0

- 4 x^{2} - 5 + x^{4} = 0

4 x^{3} - 7 x^{2} + 66 x + 17 = 0

What are the solutions to the equation x^3-6x^2-7x=0 ?
The solutions to the equation x^3-6x^2-7x=0 are x=0,x=-1,x=7
Find the zeros of x^3-6x^2-7x=0
The zeros of x^3-6x^2-7x=0 are x=0,x=-1,x=7