Question 437036
Assuming you mean
t + 12/t - 8 = 0
.
Multiply both sides by t to remove the denominator
t*t + t*12/t - t*8 = 0
t^2 + 12 - 8t = 0
Rearranging
t^2 - 8t + 12 = 0
Factoring
(t -2)(t - 6) = 0
So,
t=2 or t=6, which are the two solutions for this quadratic equation.
A graph is useful for checking.
{{{graph(500,500,-10,10,-10,10,x*x -8*x + 12)}}}