Solve cos00m^2=1/2*100m(x+2x)

$$\cos 00 m ^ { 2 } = \frac { 1 } { 2 } \times 100 m ( x + 2 x )$$

Solve for m

$$m=\frac{1}{150x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply 0 and 0 to get 0.

$$\cos(0m^{2})=\frac{1}{2}\times 100m\left(x+2x\right)$$

Anything times zero gives zero.

$$\cos(0)=\frac{1}{2}\times 100m\left(x+2x\right)$$

Get the value of \cos(0) from trigonometric values table.

$$1=\frac{1}{2}\times 100m\left(x+2x\right)$$

Multiply \frac{1}{2} and 100 to get 50.

$$1=50m\left(x+2x\right)$$

Combine x and 2x to get 3x.

$$1=50m\times 3x$$

Multiply 50 and 3 to get 150.

$$1=150mx$$

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

$$150mx=1$$

The equation is in standard form.

$$150xm=1$$

Divide both sides by 150x.

$$\frac{150xm}{150x}=\frac{1}{150x}$$

Dividing by 150x undoes the multiplication by 150x.

$$m=\frac{1}{150x}$$

Solve for x

$$x=\frac{1}{150m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply 0 and 0 to get 0.

$$\cos(0m^{2})=\frac{1}{2}\times 100m\left(x+2x\right)$$

Anything times zero gives zero.

$$\cos(0)=\frac{1}{2}\times 100m\left(x+2x\right)$$

Get the value of \cos(0) from trigonometric values table.

$$1=\frac{1}{2}\times 100m\left(x+2x\right)$$

Multiply \frac{1}{2} and 100 to get 50.

$$1=50m\left(x+2x\right)$$

Combine x and 2x to get 3x.

$$1=50m\times 3x$$

Multiply 50 and 3 to get 150.

$$1=150mx$$

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

$$150mx=1$$

Divide both sides by 150m.

$$\frac{150mx}{150m}=\frac{1}{150m}$$

Dividing by 150m undoes the multiplication by 150m.

$$x=\frac{1}{150m}$$