Solve 1-1/4=x(1/2)(sqrt{3)}

$$1- \frac{ 1 }{ 4 } =x( \frac{ 1 }{ 2 } )( \sqrt{ 3) }$$

Solve for x

$$x=\frac{\sqrt{3}}{2}\approx 0.866025404$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{4}{4}.

$$\frac{4}{4}-\frac{1}{4}=x\times \frac{1}{2}\sqrt{3}$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-1}{4}=x\times \frac{1}{2}\sqrt{3}$$

Subtract 1 from 4 to get 3.

$$\frac{3}{4}=x\times \frac{1}{2}\sqrt{3}$$

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

$$x\times \frac{1}{2}\sqrt{3}=\frac{3}{4}$$

The equation is in standard form.

$$\frac{\sqrt{3}}{2}x=\frac{3}{4}$$

Divide both sides by \frac{1}{2}\sqrt{3}.

$$\frac{2\times \frac{\sqrt{3}}{2}x}{\sqrt{3}}=\frac{\frac{3}{4}\times 2}{\sqrt{3}}$$

Dividing by \frac{1}{2}\sqrt{3} undoes the multiplication by \frac{1}{2}\sqrt{3}.

$$x=\frac{\frac{3}{4}\times 2}{\sqrt{3}}$$

Divide \frac{3}{4} by \frac{1}{2}\sqrt{3}.

$$x=\frac{\sqrt{3}}{2}$$