0=-16t^2-29t+140

Solution for 0=-16t^2-29t+140 equation:

Simplifying
0 = -16t2 + -29t + 140

Reorder the terms:
0 = 140 + -29t + -16t2

Solving
0 = 140 + -29t + -16t2

Solving for variable 't'.

Combine like terms: 0 + -140 = -140
-140 + 29t + 16t2 = 140 + -29t + -16t2 + -140 + 29t + 16t2

Reorder the terms:
-140 + 29t + 16t2 = 140 + -140 + -29t + 29t + -16t2 + 16t2

Combine like terms: 140 + -140 = 0
-140 + 29t + 16t2 = 0 + -29t + 29t + -16t2 + 16t2
-140 + 29t + 16t2 = -29t + 29t + -16t2 + 16t2

Combine like terms: -29t + 29t = 0
-140 + 29t + 16t2 = 0 + -16t2 + 16t2
-140 + 29t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-140 + 29t + 16t2 = 0

Factor a trinomial.
(-4 + -1t)(35 + -16t) = 0

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

Simplifying
-4 + -1t = 0

Solving
-4 + -1t = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1t = 0 + 4
-1t = 0 + 4

Combine like terms: 0 + 4 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4
Subproblem 2
Set the factor '(35 + -16t)' equal to zero and attempt to solve:

Simplifying
35 + -16t = 0

Solving
35 + -16t = 0

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

Add '-35' to each side of the equation.
35 + -35 + -16t = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -16t = 0 + -35
-16t = 0 + -35

Combine like terms: 0 + -35 = -35
-16t = -35

Divide each side by '-16'.
t = 2.1875

Simplifying
t = 2.1875
Solution
t = {-4, 2.1875}