10=-16t^2+50t+4

Solution for 10=-16t^2+50t+4 equation:

Simplifying
10 = -16t2 + 50t + 4

Reorder the terms:
10 = 4 + 50t + -16t2

Solving
10 = 4 + 50t + -16t2

Solving for variable 't'.

Combine like terms: 10 + -4 = 6
6 + -50t + 16t2 = 4 + 50t + -16t2 + -4 + -50t + 16t2

Reorder the terms:
6 + -50t + 16t2 = 4 + -4 + 50t + -50t + -16t2 + 16t2

Combine like terms: 4 + -4 = 0
6 + -50t + 16t2 = 0 + 50t + -50t + -16t2 + 16t2
6 + -50t + 16t2 = 50t + -50t + -16t2 + 16t2

Combine like terms: 50t + -50t = 0
6 + -50t + 16t2 = 0 + -16t2 + 16t2
6 + -50t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
6 + -50t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -25t + 8t2) = 0

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

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

Simplifying
1 + -8t = 0

Solving
1 + -8t = 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 + -8t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8t = 0 + -1
-8t = 0 + -1

Combine like terms: 0 + -1 = -1
-8t = -1

Divide each side by '-8'.
t = 0.125

Simplifying
t = 0.125
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 = {0.125, 3}