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

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

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

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

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2 x + x^{2} = 0

x = 0, x = - 2

Solution steps

2 x + x^{2} = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} + 2 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

2^{2} - 4 \cdot 1 \cdot 0 = 2

x_{1, 2} = \frac{- 2 \pm 2}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 2 + 2}{2 \cdot 1}, x_{2} = \frac{- 2 - 2}{2 \cdot 1}

x = \frac{- 2 + 2}{2 \cdot 1} : 0

x = \frac{- 2 - 2}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 0, x = - 2

4 \leq x + 6 \leq 8

6 a^{2} + 24 a - 192

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

x^{2} - 12 x + 35 > 0

25 x^{2} - 40 x y + 7 y^{2}

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