25t 2 +20t+3=−1

Sure, let's solve the equation step by step:

1. First, rewrite the equation: 25t^2 + 20t + 3 = -1
2. Move -1 to the left side of the equation: 25t^2 + 20t + 3 + 1 = 0
3. Simplify the equation: 25t^2 + 20t + 4 = 0
4. This is a quadratic equation in the form of at^2 + bt + c = 0. We can solve it using the quadratic formula: t = [-b ± sqrt(b^2 - 4ac)] / (2a)
5. Substitute a, b, and c into the formula: t = [-20 ± sqrt((20)^2 - 4254)] / (2*25)
6. Simplify the equation: t = [-20 ± sqrt(400 - 400)] / 50
7. Further simplify: t = [-20 ± sqrt(0)] / 50
8. Solve for t: t = -20 / 50 = -0.4

So, the solution to the equation 25t^2 + 20t + 3 = -1 is t = -0.4.