13=-16t^2+49t+10

Solution for 13=-16t^2+49t+10 equation:

Simplifying
13 = -16t2 + 49t + 10

Reorder the terms:
13 = 10 + 49t + -16t2

Solving
13 = 10 + 49t + -16t2

Solving for variable 't'.

Combine like terms: 13 + -10 = 3
3 + -49t + 16t2 = 10 + 49t + -16t2 + -10 + -49t + 16t2

Reorder the terms:
3 + -49t + 16t2 = 10 + -10 + 49t + -49t + -16t2 + 16t2

Combine like terms: 10 + -10 = 0
3 + -49t + 16t2 = 0 + 49t + -49t + -16t2 + 16t2
3 + -49t + 16t2 = 49t + -49t + -16t2 + 16t2

Combine like terms: 49t + -49t = 0
3 + -49t + 16t2 = 0 + -16t2 + 16t2
3 + -49t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
3 + -49t + 16t2 = 0

Factor a trinomial.
(1 + -16t)(3 + -1t) = 0

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

Simplifying
1 + -16t = 0

Solving
1 + -16t = 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 + -16t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -16t = 0 + -1
-16t = 0 + -1

Combine like terms: 0 + -1 = -1
-16t = -1

Divide each side by '-16'.
t = 0.0625

Simplifying
t = 0.0625
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 = {0.0625, 3}