32=-16t^2+44t+4

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Solution for 32=-16t^2+44t+4 equation: 


Simplifying
32 = -16t2 + 44t + 4

Reorder the terms:
32 = 4 + 44t + -16t2

Solving
32 = 4 + 44t + -16t2

Solving for variable 't'.

Combine like terms: 32 + -4 = 28
28 + -44t + 16t2 = 4 + 44t + -16t2 + -4 + -44t + 16t2

Reorder the terms:
28 + -44t + 16t2 = 4 + -4 + 44t + -44t + -16t2 + 16t2

Combine like terms: 4 + -4 = 0
28 + -44t + 16t2 = 0 + 44t + -44t + -16t2 + 16t2
28 + -44t + 16t2 = 44t + -44t + -16t2 + 16t2

Combine like terms: 44t + -44t = 0
28 + -44t + 16t2 = 0 + -16t2 + 16t2
28 + -44t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
28 + -44t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -11t + 4t2) = 0

Factor a trinomial.
4((1 + -1t)(7 + -4t)) = 0

Ignore the factor 4.

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 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 + -1t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Divide each side by '-1'.
t = 1

Simplifying
t = 1

Subproblem 2
Set the factor '(7 + -4t)' equal to zero and attempt to solve:

Simplifying
7 + -4t = 0

Solving
7 + -4t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4t = 0 + -7
-4t = 0 + -7

Combine like terms: 0 + -7 = -7
-4t = -7

Divide each side by '-4'.
t = 1.75

Simplifying
t = 1.75
Solution
t = {1, 1.75}

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