1000=-t^2+16t+936

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Solution for 1000=-t^2+16t+936 equation: 


Simplifying
1000 = -1t2 + 16t + 936

Reorder the terms:
1000 = 936 + 16t + -1t2

Solving
1000 = 936 + 16t + -1t2

Solving for variable 't'.

Combine like terms: 1000 + -936 = 64
64 + -16t + t2 = 936 + 16t + -1t2 + -936 + -16t + t2

Reorder the terms:
64 + -16t + t2 = 936 + -936 + 16t + -16t + -1t2 + t2

Combine like terms: 936 + -936 = 0
64 + -16t + t2 = 0 + 16t + -16t + -1t2 + t2
64 + -16t + t2 = 16t + -16t + -1t2 + t2

Combine like terms: 16t + -16t = 0
64 + -16t + t2 = 0 + -1t2 + t2
64 + -16t + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
64 + -16t + t2 = 0

Factor a trinomial.
(8 + -1t)(8 + -1t) = 0


Subproblem 1
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8

Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Solution
t = {8, 8}

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