Solve -b/2a=2

$$- \frac { b } { 2 a } = 2$$

Solve for a

$$a=-\frac{b}{4}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a.

$$-b=4a$$

Swap sides so that all variable terms are on the left hand side.

$$4a=-b$$

Divide both sides by 4.

$$\frac{4a}{4}=-\frac{b}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=-\frac{b}{4}$$

Variable a cannot be equal to 0.

$$a=-\frac{b}{4}\text{, }a\neq 0$$

Solve for b

$$b=-4a$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2a.

$$-b=4a$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{4a}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{4a}{-1}$$

Divide 4a by -1.

$$b=-4a$$