Solve 2*0.017*10^-6x=6^66/A

$$2 \times 0.017 \times 10 ^ { - 6 } x = \frac { 6 ^ { 6 } 6 } { A }$$

Solve for A

$$A=\frac{139968000000000}{17x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable A cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by A.

$$2\times 0.017\times 10^{-6}xA=6^{6}\times 6$$

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$2\times 0.017\times 10^{-6}xA=6^{7}$$

Multiply 2 and 0.017 to get 0.034.

$$0.034\times 10^{-6}xA=6^{7}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$0.034\times \frac{1}{1000000}xA=6^{7}$$

Multiply 0.034 and \frac{1}{1000000} to get \frac{17}{500000000}.

$$\frac{17}{500000000}xA=6^{7}$$

Calculate 6 to the power of 7 and get 279936.

$$\frac{17}{500000000}xA=279936$$

The equation is in standard form.

$$\frac{17x}{500000000}A=279936$$

Divide both sides by \frac{17}{500000000}x.

$$\frac{500000000\times \frac{17x}{500000000}A}{17x}=\frac{279936\times 500000000}{17x}$$

Dividing by \frac{17}{500000000}x undoes the multiplication by \frac{17}{500000000}x.

$$A=\frac{279936\times 500000000}{17x}$$

Divide 279936 by \frac{17}{500000000}x.

$$A=\frac{139968000000000}{17x}$$

Variable A cannot be equal to 0.

$$A=\frac{139968000000000}{17x}\text{, }A\neq 0$$

Solve for x

$$x=\frac{139968000000000}{17A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by A.

$$2\times 0.017\times 10^{-6}xA=6^{6}\times 6$$

To multiply powers of the same base, add their exponents. Add 6 and 1 to get 7.

$$2\times 0.017\times 10^{-6}xA=6^{7}$$

Multiply 2 and 0.017 to get 0.034.

$$0.034\times 10^{-6}xA=6^{7}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$0.034\times \frac{1}{1000000}xA=6^{7}$$

Multiply 0.034 and \frac{1}{1000000} to get \frac{17}{500000000}.

$$\frac{17}{500000000}xA=6^{7}$$

Calculate 6 to the power of 7 and get 279936.

$$\frac{17}{500000000}xA=279936$$

The equation is in standard form.

$$\frac{17A}{500000000}x=279936$$

Divide both sides by \frac{17}{500000000}A.

$$\frac{500000000\times \frac{17A}{500000000}x}{17A}=\frac{279936\times 500000000}{17A}$$

Dividing by \frac{17}{500000000}A undoes the multiplication by \frac{17}{500000000}A.

$$x=\frac{279936\times 500000000}{17A}$$

Divide 279936 by \frac{17}{500000000}A.

$$x=\frac{139968000000000}{17A}$$