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

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

Simplifying
-16t2 + 50t + 4 = 10

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

Solving
4 + 50t + -16t2 = 10

Solving for variable 't'.

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

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

Combine like terms: 10 + -10 = 0
-6 + 50t + -16t2 = 0

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

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

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

Simplifying
-3 + t = 0

Solving
-3 + t = 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 + t = 0 + 3

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

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

Simplifying
t = 3
Subproblem 2
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
Solution
t = {3, 0.125}