34=-16t^2+105

Solution for 34=-16t^2+105 equation:

Simplifying
34 = -16t2 + 105

Reorder the terms:
34 = 105 + -16t2

Solving
34 = 105 + -16t2

Solving for variable 't'.

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

Add '16t2' to each side of the equation.
34 + 16t2 = 105 + -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
34 + 16t2 = 105 + 0
34 + 16t2 = 105

Add '-34' to each side of the equation.
34 + -34 + 16t2 = 105 + -34

Combine like terms: 34 + -34 = 0
0 + 16t2 = 105 + -34
16t2 = 105 + -34

Combine like terms: 105 + -34 = 71
16t2 = 71

Divide each side by '16'.
t2 = 4.4375

Simplifying
t2 = 4.4375

Take the square root of each side:
t = {-2.106537443, 2.106537443}