Solve (E_{3}):f(x)=-25

$$( E _ { 3 } ) : f ( x ) = - 25$$

Solve for E_3

$$E_{3}=-\frac{25f}{x}$$

$$f\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by f.

$$E_{3}x=-25f$$

The equation is in standard form.

$$xE_{3}=-25f$$

Divide both sides by x.

$$\frac{xE_{3}}{x}=-\frac{25f}{x}$$

Dividing by x undoes the multiplication by x.

$$E_{3}=-\frac{25f}{x}$$

Solve for f

$$f=-\frac{E_{3}x}{25}$$

$$x\neq 0\text{ and }E_{3}\neq 0$$

Steps for Solving Linear Equation

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

$$E_{3}x=-25f$$

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

$$-25f=E_{3}x$$

Divide both sides by -25.

$$\frac{-25f}{-25}=\frac{E_{3}x}{-25}$$

Dividing by -25 undoes the multiplication by -25.

$$f=\frac{E_{3}x}{-25}$$

Divide E_{3}x by -25.

$$f=-\frac{E_{3}x}{25}$$

Variable f cannot be equal to 0.

$$f=-\frac{E_{3}x}{25}\text{, }f\neq 0$$