Solve 7000cm^2=1/2(a+17+cm)*4+cm

$$7000 cm ^ { 2 } = \frac { 1 } { 2 } ( a + 17 + c m ) \cdot 4 + c m$$

Solve for a

$$a=3500cm^{2}-\frac{3cm}{2}-17$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 4 to get 2.

$$7000cm^{2}=2\left(a+17+cm\right)+cm$$

Use the distributive property to multiply 2 by a+17+cm.

$$7000cm^{2}=2a+34+2cm+cm$$

Combine 2cm and cm to get 3cm.

$$7000cm^{2}=2a+34+3cm$$

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

$$2a+34+3cm=7000cm^{2}$$

Subtract 34 from both sides.

$$2a+3cm=7000cm^{2}-34$$

Subtract 3cm from both sides.

$$2a=7000cm^{2}-34-3cm$$

The equation is in standard form.

$$2a=7000cm^{2}-3cm-34$$

Divide both sides by 2.

$$\frac{2a}{2}=\frac{7000cm^{2}-3cm-34}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$a=\frac{7000cm^{2}-3cm-34}{2}$$

Divide 7000cm^{2}-34-3cm by 2.

$$a=3500cm^{2}-\frac{3cm}{2}-17$$

Solve for c

$$\left\{\begin{matrix}c=\frac{2\left(a+17\right)}{m\left(7000m-3\right)}\text{, }&m\neq \frac{3}{7000}\text{ and }m\neq 0\\c\in \mathrm{R}\text{, }&\left(m=0\text{ or }m=\frac{3}{7000}\right)\text{ and }a=-17\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 4 to get 2.

$$7000cm^{2}=2\left(a+17+cm\right)+cm$$

Use the distributive property to multiply 2 by a+17+cm.

$$7000cm^{2}=2a+34+2cm+cm$$

Combine 2cm and cm to get 3cm.

$$7000cm^{2}=2a+34+3cm$$

Subtract 3cm from both sides.

$$7000cm^{2}-3cm=2a+34$$

Combine all terms containing c.

$$\left(7000m^{2}-3m\right)c=2a+34$$

Divide both sides by -3m+7000m^{2}.

$$\frac{\left(7000m^{2}-3m\right)c}{7000m^{2}-3m}=\frac{2a+34}{7000m^{2}-3m}$$

Dividing by -3m+7000m^{2} undoes the multiplication by -3m+7000m^{2}.

$$c=\frac{2a+34}{7000m^{2}-3m}$$

Divide 34+2a by -3m+7000m^{2}.

$$c=\frac{2\left(a+17\right)}{m\left(7000m-3\right)}$$