-16t^2+42t+6=26

Solution for -16t^2+42t+6=26 equation:

Simplifying
-16t2 + 42t + 6 = 26

Reorder the terms:
6 + 42t + -16t2 = 26

Solving
6 + 42t + -16t2 = 26

Solving for variable 't'.

Reorder the terms:
6 + -26 + 42t + -16t2 = 26 + -26

Combine like terms: 6 + -26 = -20
-20 + 42t + -16t2 = 26 + -26

Combine like terms: 26 + -26 = 0
-20 + 42t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 21t + -8t2) = 0

Factor a trinomial.
2((-2 + t)(5 + -8t)) = 0

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

Simplifying
-2 + t = 0

Solving
-2 + t = 0

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

Add '2' to each side of the equation.
-2 + 2 + t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + t = 0 + 2
t = 0 + 2

Combine like terms: 0 + 2 = 2
t = 2

Simplifying
t = 2
Subproblem 2
Set the factor '(5 + -8t)' equal to zero and attempt to solve:

Simplifying
5 + -8t = 0

Solving
5 + -8t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -8t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8t = 0 + -5
-8t = 0 + -5

Combine like terms: 0 + -5 = -5
-8t = -5

Divide each side by '-8'.
t = 0.625

Simplifying
t = 0.625
Solution
t = {2, 0.625}