Solve x*x/0.1*x=1.8*10^-5m

$$\frac { x \cdot x } { 0.1 \cdot x } = 1.8 \times 10 ^ { - 5 } m$$

Solve for m

$$m=\frac{5000000x}{9}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$\frac{x^{2}}{0.1x}=1.8\times 10^{-5}m$$

Cancel out x in both numerator and denominator.

$$\frac{x}{0.1}=1.8\times 10^{-5}m$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{x}{0.1}=1.8\times \frac{1}{100000}m$$

Multiply 1.8 and \frac{1}{100000} to get \frac{9}{500000}.

$$\frac{x}{0.1}=\frac{9}{500000}m$$

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

$$\frac{9}{500000}m=\frac{x}{0.1}$$

The equation is in standard form.

$$\frac{9}{500000}m=10x$$

Divide both sides of the equation by \frac{9}{500000}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{9}{500000}m}{\frac{9}{500000}}=\frac{10x}{\frac{9}{500000}}$$

Dividing by \frac{9}{500000} undoes the multiplication by \frac{9}{500000}.

$$m=\frac{10x}{\frac{9}{500000}}$$

Divide 10x by \frac{9}{500000} by multiplying 10x by the reciprocal of \frac{9}{500000}.

$$m=\frac{5000000x}{9}$$

Solve for x

$$x=\frac{9m}{5000000}$$

$$m\neq 0$$