20=-16t^2+32t+5

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Solution for 20=-16t^2+32t+5 equation: 


Simplifying
20 = -16t2 + 32t + 5

Reorder the terms:
20 = 5 + 32t + -16t2

Solving
20 = 5 + 32t + -16t2

Solving for variable 't'.

Combine like terms: 20 + -5 = 15
15 + -32t + 16t2 = 5 + 32t + -16t2 + -5 + -32t + 16t2

Reorder the terms:
15 + -32t + 16t2 = 5 + -5 + 32t + -32t + -16t2 + 16t2

Combine like terms: 5 + -5 = 0
15 + -32t + 16t2 = 0 + 32t + -32t + -16t2 + 16t2
15 + -32t + 16t2 = 32t + -32t + -16t2 + 16t2

Combine like terms: 32t + -32t = 0
15 + -32t + 16t2 = 0 + -16t2 + 16t2
15 + -32t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
15 + -32t + 16t2 = 0

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


Subproblem 1
Set the factor '(3 + -4t)' equal to zero and attempt to solve:

Simplifying
3 + -4t = 0

Solving
3 + -4t = 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 + -4t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4t = 0 + -3
-4t = 0 + -3

Combine like terms: 0 + -3 = -3
-4t = -3

Divide each side by '-4'.
t = 0.75

Simplifying
t = 0.75

Subproblem 2
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
Solution
t = {0.75, 1.25}

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