What are the solutions to the equation x^3+7x^2=-10x ?

The solutions to the equation x^3+7x^2=-10x are x=0,x=-2,x=-5

Find the zeros of x^3+7x^2=-10x

The zeros of x^3+7x^2=-10x are x=0,x=-2,x=-5

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x^{3} + 7 x^{2} = - 10 x

x = 0, x = - 2, x = - 5

Solution steps

x^{3} + 7 x^{2} = - 10 x

Move

10 x

to the left side

x^{3} + 7 x^{2} + 10 x = 0

Factor

x^{3} + 7 x^{2} + 10 x : x (x + 2) (x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x + 5 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x + 5 = 0 : x = - 5

The solutions are

x = 0, x = - 2, x = - 5

- A^{3} + 24 A^{2} - 67 A + 64 = 0

20 x^{3} = 45 x

x^{5} - 6 x^{3} + 5 x = 0

x, x^{3} + 2 x^{2} + 5 x = 0

5000 = 1000 (1 + x)^{12}

What are the solutions to the equation x^3+7x^2=-10x ?
The solutions to the equation x^3+7x^2=-10x are x=0,x=-2,x=-5
Find the zeros of x^3+7x^2=-10x
The zeros of x^3+7x^2=-10x are x=0,x=-2,x=-5