68=-16t^2+64t+8

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Solution for 68=-16t^2+64t+8 equation: 


Simplifying
68 = -16t2 + 64t + 8

Reorder the terms:
68 = 8 + 64t + -16t2

Solving
68 = 8 + 64t + -16t2

Solving for variable 't'.

Combine like terms: 68 + -8 = 60
60 + -64t + 16t2 = 8 + 64t + -16t2 + -8 + -64t + 16t2

Reorder the terms:
60 + -64t + 16t2 = 8 + -8 + 64t + -64t + -16t2 + 16t2

Combine like terms: 8 + -8 = 0
60 + -64t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2
60 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2

Combine like terms: 64t + -64t = 0
60 + -64t + 16t2 = 0 + -16t2 + 16t2
60 + -64t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
60 + -64t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -16t + 4t2) = 0

Factor a trinomial.
4((3 + -2t)(5 + -2t)) = 0

Ignore the factor 4.

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

Simplifying
3 + -2t = 0

Solving
3 + -2t = 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 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5

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

Simplifying
5 + -2t = 0

Solving
5 + -2t = 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 + -2t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t = 0 + -5
-2t = 0 + -5

Combine like terms: 0 + -5 = -5
-2t = -5

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5
Solution
t = {1.5, 2.5}

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