Solve t=-132-0/frac{107{sqrt{5}}}

$$t = \frac { - 132 - 0 } { \frac { 107 } { \sqrt { 5 } } }$$

Solve for t

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

Steps for Solving Linear Equation

Subtract 0 from -132 to get -132.

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

Rationalize the denominator of \frac{107}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$t=\frac{-132}{\frac{107\sqrt{5}}{\left(\sqrt{5}\right)^{2}}}$$

The square of \sqrt{5} is 5.

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

Divide -132 by \frac{107\sqrt{5}}{5} by multiplying -132 by the reciprocal of \frac{107\sqrt{5}}{5}.

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

Rationalize the denominator of \frac{-132\times 5}{107\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$t=\frac{-132\times 5\sqrt{5}}{107\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

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

Multiply -132 and 5 to get -660.

$$t=\frac{-660\sqrt{5}}{107\times 5}$$

Multiply 107 and 5 to get 535.

$$t=\frac{-660\sqrt{5}}{535}$$

Divide -660\sqrt{5} by 535 to get -\frac{132}{107}\sqrt{5}.

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

Assign t

$$t≔-\frac{132\sqrt{5}}{107}$$