Solve 75-x(1.58/sqrt{35})=74.476

$$75-x( \frac{ 1.58 }{ \sqrt{ 35 } } )=74.476$$

Solve for x

$$x = \frac{131 \sqrt{35}}{395} \approx 1.96204165$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{1.58}{\sqrt{35}} by multiplying numerator and denominator by \sqrt{35}.

$$75-x\times \frac{1.58\sqrt{35}}{\left(\sqrt{35}\right)^{2}}=74.476$$

The square of \sqrt{35} is 35.

$$75-x\times \frac{1.58\sqrt{35}}{35}=74.476$$

Divide 1.58\sqrt{35} by 35 to get \frac{79}{1750}\sqrt{35}.

$$75-x\times \frac{79}{1750}\sqrt{35}=74.476$$

Multiply -1 and \frac{79}{1750} to get -\frac{79}{1750}.

$$75-\frac{79}{1750}x\sqrt{35}=74.476$$

Subtract 75 from both sides.

$$-\frac{79}{1750}x\sqrt{35}=74.476-75$$

Subtract 75 from 74.476 to get -0.524.

$$-\frac{79}{1750}x\sqrt{35}=-0.524$$

The equation is in standard form.

$$\left(-\frac{79\sqrt{35}}{1750}\right)x=-0.524$$

Divide both sides by -\frac{79}{1750}\sqrt{35}.

$$\frac{\left(-\frac{79\sqrt{35}}{1750}\right)x}{-\frac{79\sqrt{35}}{1750}}=-\frac{0.524}{-\frac{79\sqrt{35}}{1750}}$$

Dividing by -\frac{79}{1750}\sqrt{35} undoes the multiplication by -\frac{79}{1750}\sqrt{35}.

$$x=-\frac{0.524}{-\frac{79\sqrt{35}}{1750}}$$

Divide -0.524 by -\frac{79}{1750}\sqrt{35}.

$$x=\frac{131\sqrt{35}}{395}$$