0=-16t^2+96t-95

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Solution for 0=-16t^2+96t-95 equation: 


Simplifying
0 = -16t2 + 96t + -95

Reorder the terms:
0 = -95 + 96t + -16t2

Solving
0 = -95 + 96t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 95 = 95
95 + -96t + 16t2 = -95 + 96t + -16t2 + 95 + -96t + 16t2

Reorder the terms:
95 + -96t + 16t2 = -95 + 95 + 96t + -96t + -16t2 + 16t2

Combine like terms: -95 + 95 = 0
95 + -96t + 16t2 = 0 + 96t + -96t + -16t2 + 16t2
95 + -96t + 16t2 = 96t + -96t + -16t2 + 16t2

Combine like terms: 96t + -96t = 0
95 + -96t + 16t2 = 0 + -16t2 + 16t2
95 + -96t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
95 + -96t + 16t2 = 0

Factor a trinomial.
(5 + -4t)(19 + -4t) = 0


Subproblem 1
Set the factor '(5 + -4t)' equal to zero and attempt to solve:

Simplifying
5 + -4t = 0

Solving
5 + -4t = 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 + -4t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 0 + -5
-4t = 0 + -5

Combine like terms: 0 + -5 = -5
-4t = -5

Divide each side by '-4'.
t = 1.25

Simplifying
t = 1.25

Subproblem 2
Set the factor '(19 + -4t)' equal to zero and attempt to solve:

Simplifying
19 + -4t = 0

Solving
19 + -4t = 0

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

Add '-19' to each side of the equation.
19 + -19 + -4t = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -4t = 0 + -19
-4t = 0 + -19

Combine like terms: 0 + -19 = -19
-4t = -19

Divide each side by '-4'.
t = 4.75

Simplifying
t = 4.75
Solution
t = {1.25, 4.75}

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