12=-16t^2+40t+3

Solution for 12=-16t^2+40t+3 equation:

Simplifying
12 = -16t2 + 40t + 3

Reorder the terms:
12 = 3 + 40t + -16t2

Solving
12 = 3 + 40t + -16t2

Solving for variable 't'.

Combine like terms: 12 + -3 = 9
9 + -40t + 16t2 = 3 + 40t + -16t2 + -3 + -40t + 16t2

Reorder the terms:
9 + -40t + 16t2 = 3 + -3 + 40t + -40t + -16t2 + 16t2

Combine like terms: 3 + -3 = 0
9 + -40t + 16t2 = 0 + 40t + -40t + -16t2 + 16t2
9 + -40t + 16t2 = 40t + -40t + -16t2 + 16t2

Combine like terms: 40t + -40t = 0
9 + -40t + 16t2 = 0 + -16t2 + 16t2
9 + -40t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
9 + -40t + 16t2 = 0

Factor a trinomial.
(1 + -4t)(9 + -4t) = 0

Subproblem 1
Set the factor '(1 + -4t)' equal to zero and attempt to solve:

Simplifying
1 + -4t = 0

Solving
1 + -4t = 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 + -4t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4t = 0 + -1
-4t = 0 + -1

Combine like terms: 0 + -1 = -1
-4t = -1

Divide each side by '-4'.
t = 0.25

Simplifying
t = 0.25
Subproblem 2
Set the factor '(9 + -4t)' equal to zero and attempt to solve:

Simplifying
9 + -4t = 0

Solving
9 + -4t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4t = 0 + -9
-4t = 0 + -9

Combine like terms: 0 + -9 = -9
-4t = -9

Divide each side by '-4'.
t = 2.25

Simplifying
t = 2.25
Solution
t = {0.25, 2.25}