Solve q(x):x+1=0

$$q ( x ) : x + 1 = 0$$

Solve for q

$$q=-1$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$qx+x=0$$

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

$$qx=-x$$

The equation is in standard form.

$$xq=-x$$

Divide both sides by x.

$$\frac{xq}{x}=-\frac{x}{x}$$

Dividing by x undoes the multiplication by x.

$$q=-\frac{x}{x}$$

Divide -x by x.

$$q=-1$$

Solve for x

$$x\neq 0$$

$$q=-1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$qx+x=0$$

Combine all terms containing x.

$$\left(q+1\right)x=0$$

Divide 0 by q+1.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$