Solve θ=1/1*-6/sqrt{10}

$$\theta = \frac { 1 } { 1 } \cdot \frac { - 6 } { \sqrt { 10 } }$$

Solve for θ

$$\theta =-\frac{3\sqrt{10}}{5}\approx -1.897366596$$

Steps for Solving Linear Equation

Anything divided by one gives itself.

$$\theta =1\times \frac{-6}{\sqrt{10}}$$

Rationalize the denominator of \frac{-6}{\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$\theta =1\times \frac{-6\sqrt{10}}{\left(\sqrt{10}\right)^{2}}$$

The square of \sqrt{10} is 10.

$$\theta =1\times \frac{-6\sqrt{10}}{10}$$

Divide -6\sqrt{10} by 10 to get -\frac{3}{5}\sqrt{10}.

$$\theta =1\left(-\frac{3}{5}\right)\sqrt{10}$$

Multiply 1 and -\frac{3}{5} to get -\frac{3}{5}.

$$\theta =-\frac{3}{5}\sqrt{10}$$

Assign θ

$$\theta ≔-\frac{3\sqrt{10}}{5}$$