What are the solutions to the equation (x^2+x)=0 ?

The solutions to the equation (x^2+x)=0 are x=0,x=-1

Find the zeros of (x^2+x)=0

The zeros of (x^2+x)=0 are x=0,x=-1

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(x^{2} + x) = 0

x = 0, x = - 1

Solution steps

(x^{2} + x) = 0

Factor

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

x (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 to the quadratic equation are:

x = 0, x = - 1

- k^{2} - 3 k - 2 = 0

1 (- 3) = (6 x + 5) (- 9 x - 6)

0 = x^{2} - x - 3

- 2 x^{2} = - 50

x^{2} - 4 x - 9

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