8=-16t^2+34t+4

Solution for 8=-16t^2+34t+4 equation:

Simplifying
8 = -16t2 + 34t + 4

Reorder the terms:
8 = 4 + 34t + -16t2

Solving
8 = 4 + 34t + -16t2

Solving for variable 't'.

Combine like terms: 8 + -4 = 4
4 + -34t + 16t2 = 4 + 34t + -16t2 + -4 + -34t + 16t2

Reorder the terms:
4 + -34t + 16t2 = 4 + -4 + 34t + -34t + -16t2 + 16t2

Combine like terms: 4 + -4 = 0
4 + -34t + 16t2 = 0 + 34t + -34t + -16t2 + 16t2
4 + -34t + 16t2 = 34t + -34t + -16t2 + 16t2

Combine like terms: 34t + -34t = 0
4 + -34t + 16t2 = 0 + -16t2 + 16t2
4 + -34t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
4 + -34t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -17t + 8t2) = 0

Factor a trinomial.
2((1 + -8t)(2 + -1t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -8t)' equal to zero and attempt to solve:

Simplifying
1 + -8t = 0

Solving
1 + -8t = 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 + -8t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8t = 0 + -1
-8t = 0 + -1

Combine like terms: 0 + -1 = -1
-8t = -1

Divide each side by '-8'.
t = 0.125

Simplifying
t = 0.125
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 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 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {0.125, 2}