16t+-t^2=60(t)

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Solution for 16t+-t^2=60(t) equation: 


Simplifying
16t + -1t2 = 60(t)

Solving
16t + -1t2 = 60t

Solving for variable 't'.

Reorder the terms:
16t + -60t + -1t2 = 60t + -60t

Combine like terms: 16t + -60t = -44t
-44t + -1t2 = 60t + -60t

Combine like terms: 60t + -60t = 0
-44t + -1t2 = 0

Factor out the Greatest Common Factor (GCF), '-1t'.
-1t(44 + t) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(44 + t)' equal to zero and attempt to solve:

Simplifying
44 + t = 0

Solving
44 + t = 0

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

Add '-44' to each side of the equation.
44 + -44 + t = 0 + -44

Combine like terms: 44 + -44 = 0
0 + t = 0 + -44
t = 0 + -44

Combine like terms: 0 + -44 = -44
t = -44

Simplifying
t = -44
Solution
t = {0, -44}

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