Solve for f 3/4f+5=-5

$\frac{3}{4} f + 5 = - 5$

Step 1

Combine $\frac{3}{4}$ and $f$ .

$\frac{3 f}{4} + 5 = - 5$

Step 2

Move all terms not containing $f$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$\frac{3 f}{4} = - 5 - 5$

Subtract $5$ from $- 5$ .

$\frac{3 f}{4} = - 10$

Step 3

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 f}{4} = \frac{4}{3} \cdot - 10$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} \cdot \frac{3 f}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 f}{4} = \frac{4}{3} \cdot - 10$

Rewrite the expression.

$\frac{1}{3} (3 f) = \frac{4}{3} \cdot - 10$

Cancel the common factor of $3$ .

Factor $3$ out of $3 f$ .

$\frac{1}{3} (3 (f)) = \frac{4}{3} \cdot - 10$

Cancel the common factor.

$\frac{1}{3} (3 f) = \frac{4}{3} \cdot - 10$

Rewrite the expression.

$f = \frac{4}{3} \cdot - 10$

Simplify the right side.

Simplify $\frac{4}{3} \cdot - 10$ .

Multiply $\frac{4}{3} \cdot - 10$ .

Combine $\frac{4}{3}$ and $- 10$ .

$f = \frac{4 \cdot - 10}{3}$

Multiply $4$ by $- 10$ .

$f = \frac{- 40}{3}$

Move the negative in front of the fraction.

$f = - \frac{40}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$f = - \frac{40}{3}$

Decimal Form:

$f = - 13.\overline{3}$

Mixed Number Form:

$f = - 13 \frac{1}{3}$

Solve for f 3/4f+5=-5

Related Questions

Support LCMGCF.com by disabling your adblocker.