Solve for t
t=\frac{135-486\sqrt{2}}{623}\approx -0.88652936
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5t+18\sqrt{2}t=-27
Subtract 27 from both sides. Anything subtracted from zero gives its negation.
\left(5+18\sqrt{2}\right)t=-27
Combine all terms containing t.
\left(18\sqrt{2}+5\right)t=-27
The equation is in standard form.
\frac{\left(18\sqrt{2}+5\right)t}{18\sqrt{2}+5}=-\frac{27}{18\sqrt{2}+5}
Divide both sides by 5+18\sqrt{2}.
t=-\frac{27}{18\sqrt{2}+5}
Dividing by 5+18\sqrt{2} undoes the multiplication by 5+18\sqrt{2}.
t=\frac{135-486\sqrt{2}}{623}
Divide -27 by 5+18\sqrt{2}.
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