-16t^2+37t-21=0

Solution for -16t^2+37t-21=0 equation:

Simplifying
-16t2 + 37t + -21 = 0

Reorder the terms:
-21 + 37t + -16t2 = 0

Solving
-21 + 37t + -16t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-21 + 16t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-21 + 16t)' equal to zero and attempt to solve:

Simplifying
-21 + 16t = 0

Solving
-21 + 16t = 0

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

Add '21' to each side of the equation.
-21 + 21 + 16t = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 16t = 0 + 21
16t = 0 + 21

Combine like terms: 0 + 21 = 21
16t = 21

Divide each side by '16'.
t = 1.3125

Simplifying
t = 1.3125
Subproblem 2
Set the factor '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

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

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

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

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

Simplifying
t = 1
Solution
t = {1.3125, 1}