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

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

Find the zeros of x^3=-x^2

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

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x^{3} = - x^{2}

x = 0, x = - 1

Solution steps

x^{3} = - x^{2}

Move

x^{2}

to the left side

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

Factor

x^{3} + x^{2} : x^{2} (x + 1)

x^{2} (x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0

Solve

x + 1 = 0 : x = - 1

The solutions are

x = 0, x = - 1

1 + 2 x - 3 x^{2} + x^{3} = 2 x - 3

x^{3} - 3 x^{2} + 3 x - 1 = 0

x^{3} - 4 x^{2} - 4 x + 16 = 0

(x^{2} - 64)^{2} + (x^{2} + 5 x - 104)^{2} = 0

5 x^{3} - 7 x + 2

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