140=16t^2-29t

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

Simplifying
140 = 16t2 + -29t

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

Solving
140 = -29t + 16t2

Solving for variable 't'.

Reorder the terms:
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}