-16t^2+44t+6=30

Solution for -16t^2+44t+6=30 equation:

Simplifying
-16t2 + 44t + 6 = 30

Reorder the terms:
6 + 44t + -16t2 = 30

Solving
6 + 44t + -16t2 = 30

Solving for variable 't'.

Reorder the terms:
6 + -30 + 44t + -16t2 = 30 + -30

Combine like terms: 6 + -30 = -24
-24 + 44t + -16t2 = 30 + -30

Combine like terms: 30 + -30 = 0
-24 + 44t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 11t + -4t2) = 0

Factor a trinomial.
4((-2 + t)(3 + -4t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + t)' equal to zero and attempt to solve:

Simplifying
-2 + t = 0

Solving
-2 + t = 0

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

Add '2' to each side of the equation.
-2 + 2 + t = 0 + 2

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

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

Simplifying
t = 2
Subproblem 2
Set the factor '(3 + -4t)' equal to zero and attempt to solve:

Simplifying
3 + -4t = 0

Solving
3 + -4t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4t = 0 + -3
-4t = 0 + -3

Combine like terms: 0 + -3 = -3
-4t = -3

Divide each side by '-4'.
t = 0.75

Simplifying
t = 0.75
Solution
t = {2, 0.75}