Solve t=290-300/50/sqrt{15}

$$t = \frac { 290 - 300 } { 50 / \sqrt { 15 } }$$

Solve for t

$$t=-\frac{\sqrt{15}}{5}\approx -0.774596669$$

Steps for Solving Linear Equation

Subtract 300 from 290 to get -10.

$$t=\frac{-10}{\frac{50}{\sqrt{15}}}$$

Rationalize the denominator of \frac{50}{\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

$$t=\frac{-10}{\frac{50\sqrt{15}}{\left(\sqrt{15}\right)^{2}}}$$

The square of \sqrt{15} is 15.

$$t=\frac{-10}{\frac{50\sqrt{15}}{15}}$$

Divide 50\sqrt{15} by 15 to get \frac{10}{3}\sqrt{15}.

$$t=\frac{-10}{\frac{10}{3}\sqrt{15}}$$

Rationalize the denominator of \frac{-10}{\frac{10}{3}\sqrt{15}} by multiplying numerator and denominator by \sqrt{15}.

$$t=\frac{-10\sqrt{15}}{\frac{10}{3}\left(\sqrt{15}\right)^{2}}$$

The square of \sqrt{15} is 15.

$$t=\frac{-10\sqrt{15}}{\frac{10}{3}\times 15}$$

Cancel out 5 in both numerator and denominator.

$$t=\frac{-2\sqrt{15}}{3\times \frac{10}{3}}$$

Cancel out 3 and 3.

$$t=\frac{-2\sqrt{15}}{10}$$

Divide -2\sqrt{15} by 10 to get -\frac{1}{5}\sqrt{15}.

$$t=-\frac{1}{5}\sqrt{15}$$

Assign t

$$t≔-\frac{\sqrt{15}}{5}$$