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Simplifying 3600(x) = x(200 + -1x) 3600x = (200 * x + -1x * x) 3600x = (200x + -1x2) Solving 3600x = 200x + -1x2 Solving for variable 'x'. Combine like terms: 3600x + -200x = 3400x 3400x + x2 = 200x + -1x2 + -200x + x2 Reorder the terms: 3400x + x2 = 200x + -200x + -1x2 + x2 Combine like terms: 200x + -200x = 0 3400x + x2 = 0 + -1x2 + x2 3400x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3400x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(3400 + x) = 0Subproblem 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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