Solving an Absolute Value Radical Equation

The steps below outline a method for solving the following equation for $t$.
$\sqrt{25*t^2+10*t+1}-\frac{5*t+2}{\sqrt{t^2+0.4*t+0.04}}=\sum_{n=1}^{1} n$

1. | The expressions under the radicals are perfect squares: $\sqrt{25*t^2+10*t+1}=|5*t+1|$ and $\sqrt{t^2+0.4*t+0.04}=|t+0.2|$.
2. | The equation can be rewritten using absolute values: $|5*t+1|-\frac{5*t+2}{|t+0.2|}=1$.
3. | Assuming $5*t+1>0$ and $t+0.2>0$, the equation simplifies to the quadratic $5*t^2-4*t-2=0$.

Which of the following is a solution for $t$ that satisfies the assumptions made in Step 3?