What are the solutions to the equation x^3+8x^2+7x=0 ?

The solutions to the equation x^3+8x^2+7x=0 are x=0,x=-1,x=-7

Find the zeros of x^3+8x^2+7x=0

The zeros of x^3+8x^2+7x=0 are x=0,x=-1,x=-7

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x^{3} + 8 x^{2} + 7 x = 0

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

Solution steps

x^{3} + 8 x^{2} + 7 x = 0

Factor

x^{3} + 8 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^{6} - 2 x^{3} + 4 = 16

x^{3} = 15 x + 4

x - x^{4} = 0

x^{3} - 8 x^{2} + 17 x - 4 = 0

6 x^{3} + 9 x^{2} + 4 x + 6 = 0

What are the solutions to the equation x^3+8x^2+7x=0 ?
The solutions to the equation x^3+8x^2+7x=0 are x=0,x=-1,x=-7
Find the zeros of x^3+8x^2+7x=0
The zeros of x^3+8x^2+7x=0 are x=0,x=-1,x=-7