(500-t)s+4s=0

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Solution for (500-t)s+4s=0 equation: 


Simplifying
(500 + -1t) * s + 4s = 0

Reorder the terms for easier multiplication:
s(500 + -1t) + 4s = 0
(500 * s + -1t * s) + 4s = 0
(500s + -1st) + 4s = 0

Reorder the terms:
500s + 4s + -1st = 0

Combine like terms: 500s + 4s = 504s
504s + -1st = 0

Solving
504s + -1st = 0

Solving for variable 's'.

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

Factor out the Greatest Common Factor (GCF), 's'.
s(504 + -1t) = 0


Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

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

Simplifying
s = 0

Subproblem 2
Set the factor '(504 + -1t)' equal to zero and attempt to solve:

Simplifying
504 + -1t = 0

Solving
504 + -1t = 0

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

Add '-504' to each side of the equation.
504 + -504 + -1t = 0 + -504

Combine like terms: 504 + -504 = 0
0 + -1t = 0 + -504
-1t = 0 + -504

Combine like terms: 0 + -504 = -504
-1t = -504

Add 't' to each side of the equation.
-1t + t = -504 + t

Combine like terms: -1t + t = 0
0 = -504 + t

Simplifying
0 = -504 + t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
s = {0}

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