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Simplifying y = y(600 + -3y) y = (600 * y + -3y * y) y = (600y + -3y2) Solving y = 600y + -3y2 Solving for variable 'y'. Combine like terms: y + -600y = -599y -599y + 3y2 = 600y + -3y2 + -600y + 3y2 Reorder the terms: -599y + 3y2 = 600y + -600y + -3y2 + 3y2 Combine like terms: 600y + -600y = 0 -599y + 3y2 = 0 + -3y2 + 3y2 -599y + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 -599y + 3y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-599 + 3y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-599 + 3y)' equal to zero and attempt to solve: Simplifying -599 + 3y = 0 Solving -599 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '599' to each side of the equation. -599 + 599 + 3y = 0 + 599 Combine like terms: -599 + 599 = 0 0 + 3y = 0 + 599 3y = 0 + 599 Combine like terms: 0 + 599 = 599 3y = 599 Divide each side by '3'. y = 199.6666667 Simplifying y = 199.6666667Solution
y = {0, 199.6666667}
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