Solve sumx^2+x=0

$$\sum x ^ { 2 } + x = 0$$

Solve for Σ (complex solution)

$$\left\{\begin{matrix}Σ=-\frac{1}{x}\text{, }&x\neq 0\\Σ\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$Σx^{2}=-x$$

The equation is in standard form.

$$x^{2}Σ=-x$$

Divide both sides by x^{2}.

$$\frac{x^{2}Σ}{x^{2}}=-\frac{x}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$Σ=-\frac{x}{x^{2}}$$

Divide -x by x^{2}.

$$Σ=-\frac{1}{x}$$

Solve for Σ

$$\left\{\begin{matrix}Σ=-\frac{1}{x}\text{, }&x\neq 0\\Σ\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$Σx^{2}=-x$$

The equation is in standard form.

$$x^{2}Σ=-x$$

Divide both sides by x^{2}.

$$\frac{x^{2}Σ}{x^{2}}=-\frac{x}{x^{2}}$$

Dividing by x^{2} undoes the multiplication by x^{2}.

$$Σ=-\frac{x}{x^{2}}$$

Divide -x by x^{2}.

$$Σ=-\frac{1}{x}$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=-\frac{1}{Σ}\text{, }&Σ\neq 0\end{matrix}\right.$$