0=-16t^2+43t-22

Solution for 0=-16t^2+43t-22 equation:

Simplifying
0 = -16t2 + 43t + -22

Reorder the terms:
0 = -22 + 43t + -16t2

Solving
0 = -22 + 43t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 22 = 22
22 + -43t + 16t2 = -22 + 43t + -16t2 + 22 + -43t + 16t2

Reorder the terms:
22 + -43t + 16t2 = -22 + 22 + 43t + -43t + -16t2 + 16t2

Combine like terms: -22 + 22 = 0
22 + -43t + 16t2 = 0 + 43t + -43t + -16t2 + 16t2
22 + -43t + 16t2 = 43t + -43t + -16t2 + 16t2

Combine like terms: 43t + -43t = 0
22 + -43t + 16t2 = 0 + -16t2 + 16t2
22 + -43t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
22 + -43t + 16t2 = 0

Factor a trinomial.
(11 + -16t)(2 + -1t) = 0

Subproblem 1
Set the factor '(11 + -16t)' equal to zero and attempt to solve:

Simplifying
11 + -16t = 0

Solving
11 + -16t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -16t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -16t = 0 + -11
-16t = 0 + -11

Combine like terms: 0 + -11 = -11
-16t = -11

Divide each side by '-16'.
t = 0.6875

Simplifying
t = 0.6875
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 = {0.6875, 2}