25=4+37t-16t^2

Solution for 25=4+37t-16t^2 equation:

Simplifying
25 = 4 + 37t + -16t2

Solving
25 = 4 + 37t + -16t2

Solving for variable 't'.

Combine like terms: 25 + -4 = 21
21 + -37t + 16t2 = 4 + 37t + -16t2 + -4 + -37t + 16t2

Reorder the terms:
21 + -37t + 16t2 = 4 + -4 + 37t + -37t + -16t2 + 16t2

Combine like terms: 4 + -4 = 0
21 + -37t + 16t2 = 0 + 37t + -37t + -16t2 + 16t2
21 + -37t + 16t2 = 37t + -37t + -16t2 + 16t2

Combine like terms: 37t + -37t = 0
21 + -37t + 16t2 = 0 + -16t2 + 16t2
21 + -37t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
21 + -37t + 16t2 = 0

Factor a trinomial.
(1 + -1t)(21 + -16t) = 0

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1t = 0 + -1

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

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

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

Simplifying
t = 1
Subproblem 2
Set the factor '(21 + -16t)' equal to zero and attempt to solve:

Simplifying
21 + -16t = 0

Solving
21 + -16t = 0

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

Add '-21' to each side of the equation.
21 + -21 + -16t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -16t = 0 + -21
-16t = 0 + -21

Combine like terms: 0 + -21 = -21
-16t = -21

Divide each side by '-16'.
t = 1.3125

Simplifying
t = 1.3125
Solution
t = {1, 1.3125}