3t^2+20t+25=0

Solution for 3t^2+20t+25=0 equation:

Simplifying
3t2 + 20t + 25 = 0

Reorder the terms:
25 + 20t + 3t2 = 0

Solving
25 + 20t + 3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(5 + t)(5 + 3t) = 0

Subproblem 1
Set the factor '(5 + t)' equal to zero and attempt to solve:

Simplifying
5 + t = 0

Solving
5 + t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + t = 0 + -5
t = 0 + -5

Combine like terms: 0 + -5 = -5
t = -5

Simplifying
t = -5
Subproblem 2
Set the factor '(5 + 3t)' equal to zero and attempt to solve:

Simplifying
5 + 3t = 0

Solving
5 + 3t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 3t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3t = 0 + -5
3t = 0 + -5

Combine like terms: 0 + -5 = -5
3t = -5

Divide each side by '3'.
t = -1.666666667

Simplifying
t = -1.666666667
Solution
t = {-5, -1.666666667}