Solve g=1/1{220+frac{1/x}+348}

$$g = \frac{ 1 }{ \frac{ 1 }{ 220+ \frac{ 1 }{ x } } +348 }$$

Solve for x

$$x=-\frac{348g-1}{76561g-220}$$

$$g\neq \frac{220}{76561}\text{ and }g\neq 0\text{ and }g\neq \frac{1}{348}$$

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Multiply 220 times \frac{x}{x}.

$$g=\frac{1}{\frac{1}{\frac{220x}{x}+\frac{1}{x}}+348}$$

Since \frac{220x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.

$$g=\frac{1}{\frac{1}{\frac{220x+1}{x}}+348}$$

Variable x cannot be equal to 0 since division by zero is not defined. Divide 1 by \frac{220x+1}{x} by multiplying 1 by the reciprocal of \frac{220x+1}{x}.

$$g=\frac{1}{\frac{x}{220x+1}+348}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 348 times \frac{220x+1}{220x+1}.

$$g=\frac{1}{\frac{x}{220x+1}+\frac{348\left(220x+1\right)}{220x+1}}$$

Since \frac{x}{220x+1} and \frac{348\left(220x+1\right)}{220x+1} have the same denominator, add them by adding their numerators.

$$g=\frac{1}{\frac{x+348\left(220x+1\right)}{220x+1}}$$

Do the multiplications in x+348\left(220x+1\right).

$$g=\frac{1}{\frac{x+76560x+348}{220x+1}}$$

Combine like terms in x+76560x+348.

$$g=\frac{1}{\frac{76561x+348}{220x+1}}$$

Variable x cannot be equal to -\frac{1}{220} since division by zero is not defined. Divide 1 by \frac{76561x+348}{220x+1} by multiplying 1 by the reciprocal of \frac{76561x+348}{220x+1}.

$$g=\frac{220x+1}{76561x+348}$$

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

$$\frac{220x+1}{76561x+348}=g$$

Variable x cannot be equal to -\frac{348}{76561} since division by zero is not defined. Multiply both sides of the equation by 76561x+348.

$$220x+1=g\left(76561x+348\right)$$

Use the distributive property to multiply g by 76561x+348.

$$220x+1=76561gx+348g$$

Subtract 76561gx from both sides.

$$220x+1-76561gx=348g$$

Subtract 1 from both sides.

$$220x-76561gx=348g-1$$

Combine all terms containing x.

$$\left(220-76561g\right)x=348g-1$$

Divide both sides by 220-76561g.

$$\frac{\left(220-76561g\right)x}{220-76561g}=\frac{348g-1}{220-76561g}$$

Dividing by 220-76561g undoes the multiplication by 220-76561g.

$$x=\frac{348g-1}{220-76561g}$$

Variable x cannot be equal to any of the values -\frac{348}{76561},-\frac{1}{220},0.

$$x=\frac{348g-1}{220-76561g}\text{, }x\neq -\frac{348}{76561}\text{ and }x\neq -\frac{1}{220}\text{ and }x\neq 0$$

Solve for g

$$g=\frac{220x+1}{76561x+348}$$

$$x\neq -\frac{348}{76561}\text{ and }x\neq -\frac{1}{220}\text{ and }x\neq 0$$