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Simplifying x(200 + -1x) = 3600(x) (200 * x + -1x * x) = 3600(x) (200x + -1x2) = 3600(x) 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 = 0Subproblem 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 = -3400Solution
x = {0, -3400}
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