0=-16t^2+4t+30

Solution for 0=-16t^2+4t+30 equation:

Simplifying
0 = -16t2 + 4t + 30

Reorder the terms:
0 = 30 + 4t + -16t2

Solving
0 = 30 + 4t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -30 = -30
-30 + -4t + 16t2 = 30 + 4t + -16t2 + -30 + -4t + 16t2

Reorder the terms:
-30 + -4t + 16t2 = 30 + -30 + 4t + -4t + -16t2 + 16t2

Combine like terms: 30 + -30 = 0
-30 + -4t + 16t2 = 0 + 4t + -4t + -16t2 + 16t2
-30 + -4t + 16t2 = 4t + -4t + -16t2 + 16t2

Combine like terms: 4t + -4t = 0
-30 + -4t + 16t2 = 0 + -16t2 + 16t2
-30 + -4t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-30 + -4t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -2t + 8t2) = 0

Factor a trinomial.
2((-5 + -4t)(3 + -2t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -4t)' equal to zero and attempt to solve:

Simplifying
-5 + -4t = 0

Solving
-5 + -4t = 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 + -4t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4t = 0 + 5
-4t = 0 + 5

Combine like terms: 0 + 5 = 5
-4t = 5

Divide each side by '-4'.
t = -1.25

Simplifying
t = -1.25
Subproblem 2
Set the factor '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 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 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Solution
t = {-1.25, 1.5}