Solve 2*10^5=10^3g(alpha+0.3496*10^6)

$$2 \times 10 ^ { 5 } = 10 ^ { 3 } g ( \alpha + 0.3496 \times 10 ^ { 6 } )$$

Solve for g

$$g=\frac{200}{\alpha +349600}$$

$$\alpha \neq -349600$$

Steps for Solving Linear Equation

Calculate 10 to the power of 5 and get 100000.

$$2\times 100000=10^{3}g\left(\alpha +0.3496\times 10^{6}\right)$$

Calculate 10 to the power of 3 and get 1000.

$$2\times 100000=1000g\left(\alpha +0.3496\times 10^{6}\right)$$

Calculate 10 to the power of 6 and get 1000000.

$$2\times 100000=1000g\left(\alpha +0.3496\times 1000000\right)$$

Use the distributive property to multiply 1000g by \alpha +0.3496\times 1000000.

$$2\times 100000=1000g\alpha +1000g\left(0.3496\times 1000000\right)$$

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

$$1000g\alpha +1000g\left(0.3496\times 1000000\right)=2\times 100000$$

Combine all terms containing g.

$$\left(1000\alpha +1000\left(0.3496\times 1000000\right)\right)g=2\times 100000$$

The equation is in standard form.

$$\left(1000\alpha [phone]\right)g=200000$$

Divide both sides by 1000\alpha [phone].

$$\frac{\left(1000\alpha [phone]\right)g}{1000\alpha [phone]}=\frac{200000}{1000\alpha [phone]}$$

Dividing by 1000\alpha [phone] undoes the multiplication by 1000\alpha [phone].

$$g=\frac{200000}{1000\alpha [phone]}$$

Divide 200000 by 1000\alpha [phone].

$$g=\frac{200}{\alpha +349600}$$

Solve for α

$$\alpha =-349600+\frac{200}{g}$$

$$g\neq 0$$

Steps for Solving Linear Equation

Calculate 10 to the power of 5 and get 100000.

$$2\times 100000=10^{3}g\left(\alpha +0.3496\times 10^{6}\right)$$

Calculate 10 to the power of 3 and get 1000.

$$2\times 100000=1000g\left(\alpha +0.3496\times 10^{6}\right)$$

Calculate 10 to the power of 6 and get 1000000.

$$2\times 100000=1000g\left(\alpha +0.3496\times 1000000\right)$$

Use the distributive property to multiply 1000g by \alpha +0.3496\times 1000000.

$$2\times 100000=1000g\alpha +1000g\left(0.3496\times 1000000\right)$$

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

$$1000g\alpha +1000g\left(0.3496\times 1000000\right)=2\times 100000$$

Subtract 1000g\left(0.3496\times 1000000\right) from both sides.

$$1000g\alpha =2\times 100000-1000g\left(0.3496\times 1000000\right)$$

The equation is in standard form.

$$1000g\alpha =200000-349600000g$$

Divide both sides by 1000g.

$$\frac{1000g\alpha }{1000g}=\frac{200000-349600000g}{1000g}$$

Dividing by 1000g undoes the multiplication by 1000g.

$$\alpha =\frac{200000-349600000g}{1000g}$$

Divide 200000-349600000g by 1000g.

$$\alpha =-349600+\frac{200}{g}$$