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Simplifying x = x(600 + -3x) x = (600 * x + -3x * x) x = (600x + -3x2) Solving x = 600x + -3x2 Solving for variable 'x'. Combine like terms: x + -600x = -599x -599x + 3x2 = 600x + -3x2 + -600x + 3x2 Reorder the terms: -599x + 3x2 = 600x + -600x + -3x2 + 3x2 Combine like terms: 600x + -600x = 0 -599x + 3x2 = 0 + -3x2 + 3x2 -599x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -599x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-599 + 3x) = 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 '(-599 + 3x)' equal to zero and attempt to solve: Simplifying -599 + 3x = 0 Solving -599 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '599' to each side of the equation. -599 + 599 + 3x = 0 + 599 Combine like terms: -599 + 599 = 0 0 + 3x = 0 + 599 3x = 0 + 599 Combine like terms: 0 + 599 = 599 3x = 599 Divide each side by '3'. x = 199.6666667 Simplifying x = 199.6666667Solution
x = {0, 199.6666667}
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