0=15t-2t^2-25

Solution for 0=15t-2t^2-25 equation:

Simplifying
0 = 15t + -2t2 + -25

Reorder the terms:
0 = -25 + 15t + -2t2

Solving
0 = -25 + 15t + -2t2

Solving for variable 't'.

Combine like terms: 0 + 25 = 25
25 + -15t + 2t2 = -25 + 15t + -2t2 + 25 + -15t + 2t2

Reorder the terms:
25 + -15t + 2t2 = -25 + 25 + 15t + -15t + -2t2 + 2t2

Combine like terms: -25 + 25 = 0
25 + -15t + 2t2 = 0 + 15t + -15t + -2t2 + 2t2
25 + -15t + 2t2 = 15t + -15t + -2t2 + 2t2

Combine like terms: 15t + -15t = 0
25 + -15t + 2t2 = 0 + -2t2 + 2t2
25 + -15t + 2t2 = -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
25 + -15t + 2t2 = 0

Factor a trinomial.
(5 + -2t)(5 + -1t) = 0

Subproblem 1
Set the factor '(5 + -2t)' equal to zero and attempt to solve:

Simplifying
5 + -2t = 0

Solving
5 + -2t = 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 + -2t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t = 0 + -5
-2t = 0 + -5

Combine like terms: 0 + -5 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 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 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {2.5, 5}