126=90t-16t^2

Solution for 126=90t-16t^2 equation:

Simplifying
126 = 90t + -16t2

Solving
126 = 90t + -16t2

Solving for variable 't'.

Reorder the terms:
126 + -90t + 16t2 = 90t + -90t + -16t2 + 16t2

Combine like terms: 90t + -90t = 0
126 + -90t + 16t2 = 0 + -16t2 + 16t2
126 + -90t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
126 + -90t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + -45t + 8t2) = 0

Factor a trinomial.
2((21 + -8t)(3 + -1t)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(21 + -8t)' equal to zero and attempt to solve:

Simplifying
21 + -8t = 0

Solving
21 + -8t = 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 + -8t = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -8t = 0 + -21
-8t = 0 + -21

Combine like terms: 0 + -21 = -21
-8t = -21

Divide each side by '-8'.
t = 2.625

Simplifying
t = 2.625
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {2.625, 3}