Solve 6/13x^2=191/2*ECpi

$$\frac { 6 } { 13 } x ^ { 2 } = 19 \frac { 1 } { 2 } \cdot E C \pi$$

Solve for C (complex solution)

$$\left\{\begin{matrix}C=\frac{4x^{2}}{169\pi E}\text{, }&E\neq 0\\C\in \mathrm{C}\text{, }&x=0\text{ and }E=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 26, the least common multiple of 13,2.

$$12x^{2}=13\left(19\times 2+1\right)EC\pi$$

Multiply 19 and 2 to get 38.

$$12x^{2}=13\left(38+1\right)EC\pi$$

Add 38 and 1 to get 39.

$$12x^{2}=13\times 39EC\pi$$

Multiply 13 and 39 to get 507.

$$12x^{2}=507EC\pi$$

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

$$507EC\pi =12x^{2}$$

The equation is in standard form.

$$507\pi EC=12x^{2}$$

Divide both sides by 507E\pi .

$$\frac{507\pi EC}{507\pi E}=\frac{12x^{2}}{507\pi E}$$

Dividing by 507E\pi undoes the multiplication by 507E\pi .

$$C=\frac{12x^{2}}{507\pi E}$$

Divide 12x^{2} by 507E\pi .

$$C=\frac{4x^{2}}{169\pi E}$$

Solve for E (complex solution)

$$\left\{\begin{matrix}E=\frac{4x^{2}}{169\pi C}\text{, }&C\neq 0\\E\in \mathrm{C}\text{, }&x=0\text{ and }C=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 26, the least common multiple of 13,2.

$$12x^{2}=13\left(19\times 2+1\right)EC\pi$$

Multiply 19 and 2 to get 38.

$$12x^{2}=13\left(38+1\right)EC\pi$$

Add 38 and 1 to get 39.

$$12x^{2}=13\times 39EC\pi$$

Multiply 13 and 39 to get 507.

$$12x^{2}=507EC\pi$$

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

$$507EC\pi =12x^{2}$$

The equation is in standard form.

$$507\pi CE=12x^{2}$$

Divide both sides by 507C\pi .

$$\frac{507\pi CE}{507\pi C}=\frac{12x^{2}}{507\pi C}$$

Dividing by 507C\pi undoes the multiplication by 507C\pi .

$$E=\frac{12x^{2}}{507\pi C}$$

Divide 12x^{2} by 507C\pi .

$$E=\frac{4x^{2}}{169\pi C}$$

Solve for C

$$\left\{\begin{matrix}C=\frac{4x^{2}}{169\pi E}\text{, }&E\neq 0\\C\in \mathrm{R}\text{, }&x=0\text{ and }E=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 26, the least common multiple of 13,2.

$$12x^{2}=13\left(19\times 2+1\right)EC\pi$$

Multiply 19 and 2 to get 38.

$$12x^{2}=13\left(38+1\right)EC\pi$$

Add 38 and 1 to get 39.

$$12x^{2}=13\times 39EC\pi$$

Multiply 13 and 39 to get 507.

$$12x^{2}=507EC\pi$$

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

$$507EC\pi =12x^{2}$$

The equation is in standard form.

$$507\pi EC=12x^{2}$$

Divide both sides by 507E\pi .

$$\frac{507\pi EC}{507\pi E}=\frac{12x^{2}}{507\pi E}$$

Dividing by 507E\pi undoes the multiplication by 507E\pi .

$$C=\frac{12x^{2}}{507\pi E}$$

Divide 12x^{2} by 507E\pi .

$$C=\frac{4x^{2}}{169\pi E}$$

Solve for E

$$\left\{\begin{matrix}E=\frac{4x^{2}}{169\pi C}\text{, }&C\neq 0\\E\in \mathrm{R}\text{, }&x=0\text{ and }C=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 26, the least common multiple of 13,2.

$$12x^{2}=13\left(19\times 2+1\right)EC\pi$$

Multiply 19 and 2 to get 38.

$$12x^{2}=13\left(38+1\right)EC\pi$$

Add 38 and 1 to get 39.

$$12x^{2}=13\times 39EC\pi$$

Multiply 13 and 39 to get 507.

$$12x^{2}=507EC\pi$$

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

$$507EC\pi =12x^{2}$$

The equation is in standard form.

$$507\pi CE=12x^{2}$$

Divide both sides by 507C\pi .

$$\frac{507\pi CE}{507\pi C}=\frac{12x^{2}}{507\pi C}$$

Dividing by 507C\pi undoes the multiplication by 507C\pi .

$$E=\frac{12x^{2}}{507\pi C}$$

Divide 12x^{2} by 507C\pi .

$$E=\frac{4x^{2}}{169\pi C}$$