Solve t=-13.2-0/frac{10.7{sqrt{5}}}

$$t = \frac { - 13.2 - 0 } { \frac { 10.7 } { \sqrt { 5 } } }$$

Solve for t

$$t = -\frac{132 \sqrt{5}}{107} \approx -2.758513767$$

Steps for Solving Linear Equation

Subtract 0 from -13.2 to get -13.2.

$$t=\frac{-13.2}{\frac{10.7}{\sqrt{5}}}$$

Rationalize the denominator of \frac{10.7}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$t=\frac{-13.2}{\frac{10.7\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

The square of \sqrt{5} is 5.

$$t=\frac{-13.2}{\frac{10.7\sqrt{5}}{5}}$$

Divide 10.7\sqrt{5} by 5 to get 2.14\sqrt{5}.

$$t=\frac{-13.2}{2.14\sqrt{5}}$$

Rationalize the denominator of \frac{-13.2}{2.14\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$t=\frac{-13.2\sqrt{5}}{2.14\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$t=\frac{-13.2\sqrt{5}}{2.14\times 5}$$

Multiply 2.14 and 5 to get 10.7.

$$t=\frac{-13.2\sqrt{5}}{10.7}$$

Divide -13.2\sqrt{5} by 10.7 to get -\frac{132}{107}\sqrt{5}.

$$t=-\frac{132}{107}\sqrt{5}$$

Assign t

$$t≔-\frac{132\sqrt{5}}{107}$$