x(200-x)=3600x

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Solution for x(200-x)=3600x equation: 


Simplifying
x(200 + -1x) = 3600x
(200 * x + -1x * x) = 3600x
(200x + -1x2) = 3600x

Solving
200x + -1x2 = 3600x

Solving for variable 'x'.

Reorder the terms:
200x + -3600x + -1x2 = 3600x + -3600x

Combine like terms: 200x + -3600x = -3400x
-3400x + -1x2 = 3600x + -3600x

Combine like terms: 3600x + -3600x = 0
-3400x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3400 + x) = 0

Ignore the factor -1.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3400 + x)' equal to zero and attempt to solve:

Simplifying
3400 + x = 0

Solving
3400 + x = 0

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

Add '-3400' to each side of the equation.
3400 + -3400 + x = 0 + -3400

Combine like terms: 3400 + -3400 = 0
0 + x = 0 + -3400
x = 0 + -3400

Combine like terms: 0 + -3400 = -3400
x = -3400

Simplifying
x = -3400
Solution
x = {0, -3400}

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