Solve 47/475-sqrt{291}*(x*33)=1

$$\frac{ 47 }{ 475 } - \sqrt{ 291 } \times (x \times 33)=1$$

Solve for x

$$x=-\frac{428\sqrt{291}}{4561425}\approx -0.001600625$$

Steps for Solving Linear Equation

Multiply -1 and 33 to get -33.

$$\frac{47}{475}-33\sqrt{291}x=1$$

Subtract \frac{47}{475} from both sides.

$$-33\sqrt{291}x=1-\frac{47}{475}$$

Convert 1 to fraction \frac{475}{475}.

$$-33\sqrt{291}x=\frac{475}{475}-\frac{47}{475}$$

Since \frac{475}{475} and \frac{47}{475} have the same denominator, subtract them by subtracting their numerators.

$$-33\sqrt{291}x=\frac{475-47}{475}$$

Subtract 47 from 475 to get 428.

$$-33\sqrt{291}x=\frac{428}{475}$$

The equation is in standard form.

$$\left(-33\sqrt{291}\right)x=\frac{428}{475}$$

Divide both sides by -33\sqrt{291}.

$$\frac{\left(-33\sqrt{291}\right)x}{-33\sqrt{291}}=\frac{\frac{428}{475}}{-33\sqrt{291}}$$

Dividing by -33\sqrt{291} undoes the multiplication by -33\sqrt{291}.

$$x=\frac{\frac{428}{475}}{-33\sqrt{291}}$$

Divide \frac{428}{475} by -33\sqrt{291}.

$$x=-\frac{428\sqrt{291}}{4561425}$$