Solve 7f+quadC=56.52ft

$$7 f + \quad C = 56.52 ft$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=\frac{25C}{1413t-175}\text{, }&t\neq \frac{175}{1413}\\f\in \mathrm{C}\text{, }&C=0\text{ and }t=\frac{175}{1413}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 56.52ft from both sides.

$$7f+C-56.52ft=0$$

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

$$7f-56.52ft=-C$$

Combine all terms containing f.

$$\left(7-56.52t\right)f=-C$$

The equation is in standard form.

$$\left(-\frac{1413t}{25}+7\right)f=-C$$

Divide both sides by 7-56.52t.

$$\frac{\left(-\frac{1413t}{25}+7\right)f}{-\frac{1413t}{25}+7}=-\frac{C}{-\frac{1413t}{25}+7}$$

Dividing by 7-56.52t undoes the multiplication by 7-56.52t.

$$f=-\frac{C}{-\frac{1413t}{25}+7}$$

Divide -C by 7-56.52t.

$$f=\frac{25C}{1413t-175}$$

Solve for f

$$\left\{\begin{matrix}f=\frac{25C}{1413t-175}\text{, }&t\neq \frac{175}{1413}\\f\in \mathrm{R}\text{, }&C=0\text{ and }t=\frac{175}{1413}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 56.52ft from both sides.

$$7f+C-56.52ft=0$$

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

$$7f-56.52ft=-C$$

Combine all terms containing f.

$$\left(7-56.52t\right)f=-C$$

The equation is in standard form.

$$\left(-\frac{1413t}{25}+7\right)f=-C$$

Divide both sides by 7-56.52t.

$$\frac{\left(-\frac{1413t}{25}+7\right)f}{-\frac{1413t}{25}+7}=-\frac{C}{-\frac{1413t}{25}+7}$$

Dividing by 7-56.52t undoes the multiplication by 7-56.52t.

$$f=-\frac{C}{-\frac{1413t}{25}+7}$$

Divide -C by 7-56.52t.

$$f=\frac{25C}{1413t-175}$$

Solve for C

$$C=f\left(\frac{1413t}{25}-7\right)$$

Solution Steps

Subtract 7f from both sides.

$$C=56.52ft-7f$$