0=-16t^2+12t+4

Solution for 0=-16t^2+12t+4 equation:

Simplifying
0 = -16t2 + 12t + 4

Reorder the terms:
0 = 4 + 12t + -16t2

Solving
0 = 4 + 12t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -4 = -4
-4 + -12t + 16t2 = 4 + 12t + -16t2 + -4 + -12t + 16t2

Reorder the terms:
-4 + -12t + 16t2 = 4 + -4 + 12t + -12t + -16t2 + 16t2

Combine like terms: 4 + -4 = 0
-4 + -12t + 16t2 = 0 + 12t + -12t + -16t2 + 16t2
-4 + -12t + 16t2 = 12t + -12t + -16t2 + 16t2

Combine like terms: 12t + -12t = 0
-4 + -12t + 16t2 = 0 + -16t2 + 16t2
-4 + -12t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-4 + -12t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -3t + 4t2) = 0

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

Ignore the factor 4.
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 '(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
Solution
t = {-0.25, 1}